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Topic: Polish space


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In the News (Fri 25 Dec 09)

  
  Polish space - Wikipedia, the free encyclopedia
Polish spaces are so named because they were first extensively studied by Polish topologists and logicians, like Sierpinski, Kuratowski, Tarski, and others.
However, Polish spaces are primarily studied today because they are the primary setting for descriptive set theory, including the study of Borel equivalence relations.
Between any two uncountable Polish spaces, there is a Borel isomorphism; that is, a bijection that preserves the Borel structure.
en.wikipedia.org /wiki/Polish_space   (285 words)

  
 PlanetMath: Polish space
A Polish space is a topological space that is homeomorphic to some complete separable metric space.
Cross-references: metric space, separable, complete, homeomorphic, topological space
This is version 1 of Polish space, born on 2005-01-31.
planetmath.org /encyclopedia/PolishSpace.html   (53 words)

  
 Esa Industry Portal - Industry Portal - Workshop on European space industry in Warsaw
In 1977 the Polish Space Research Centre was founded and in 1978 a Polish cosmonaut flew on the Solyut 6 mission.
The Polish Space Office was created in 2001 and the new agreement signed with ESA on 24 January 2002, significantly broadens the fields of cooperation.
To support Polish industry and institutes to better define their niches and potential European partners, a recent mapping of the competencies of more than 170 companies in ESA Member States and Canada will be presented.
www.esa.int /home-ind/ESA-Article-fullArticle_par-02_1084173604196.html   (448 words)

  
 Poland 2004
The great occasion to launch WSW 2004 with the theme "Space for Sustainable Development" was the opening of the Polish Ranging and Monitoring Integrity Station RIMS, which is vital part of the satellite navigation system EGNOS.
The station was constructed as result of cooperation between Polish Space Research Center and European Space Agency.
Young enthusiasts of astronautics participated in the ZNEK project (Application of Science for the Exploration of Space) http://znek.astronet.pl led by Polish Astronautics Society and it's leaders Mr Andrzej Kotarski and Mr Marek Sadowski.
www.spaceweek.org /poland_2004.html   (439 words)

  
 Mavala nail polish application techniques
Begin by applying polish down to the center of the nail in one stroke, from base to tip, leaving a small space between polish and cuticle.
Polish: If you are using a colored enamel, leave a narrow strip on either side free to elongate the nail.
Polish: The entire nail can be covered with polish, or leave the half moon at the nail base free of polish.
www.beauty-spas.com /mavala_nail/nailcolortechs.html   (803 words)

  
 [No title]
Today the Polish space industry, along with the Hungarian and the Czech, are experiencing a renewal phase thanks to the increased importance of hi-tech economic sectors as well as the benefit from being on the path to membership in the European Space Agency (ESA), to take place near the end of the decade.
Space research went on as normal, and throughout the 1990's, state owned aerospace firms were slowly privatized.
Explaining the Polish view was Marek Siwiec, a member of the European Parliament and the head of the EU delegation to Ukraine.
www.hudsonfla.com /ujklich.htm   (2944 words)

  
 PlanetMath: Baire space
Baire space is the topological product of countably many copies of
This is version 2 of Baire space, born on 2006-07-07, modified 2006-07-07.
The occurence of Baire space in the entry Cantor Space http://planetmath.org/encyclopedia/CantorSpace.html was automatically linked to http://planetmath.org/encyclopedia/BaireSpace.html -- therefore I created this "seed entry".
planetmath.org /encyclopedia/BaireSpace2.html   (81 words)

  
 Mathematics Hypertext Project: Empty Page
The Baire space consists of all infinite sequences of non-negative integers, and can be metrized so that if two sequences that agree on exactly the first `m` coordinates, then their distance is `2^(-m)`.
The Cantor space is the subspace of the Baire space consisting of sequences of 0's and 1's.
If a space `X` is metrizable, separable, connected, locally connected, and has the property that `X setminus {x}` has exactly two components for every `x in X`, then `X` is homeomorphic to the real line.
alpha.fdu.edu /~mayans/core/real_numbers.html   (2698 words)

  
 HobbySpace - Space Activism - Part 2
The SpaceExpress, for example, is a space van that goes to schools with demonstrations, simulations, and other space related educational resources.
Space Generation is a spin- off from the SGAC - Space Generation Advisory Council.
The Lunar Prospector was built and launched by Lockheed-Martin in the fall of 1997 and in early 1998 it made the major discovery of water ice at the North and South Poles of the moon.
www.hobbyspace.com /Active/active2.html   (2741 words)

  
 Poland 2000
During the week there was many programs about exploration of Space on Polish Television, Polish Radio and in press and weekly magazines.
As a main event, we planned a Space Competition for children.
Scientists from Polish Space Research Centre formed a group of consultants to serve journalists with their knowledge.
www.spaceweek.org /poland_2000.html   (710 words)

  
 ESA - Human Spaceflight and Exploration - Business - SURE at Polish technologies seminar in Warsaw
The SURE information meeting, hosted by Polspace Ltd, the operational arm of the Polish Space Research Institute (SRC), was held in the frame of the ESA seminar 'Polish Technologies in the European Space Programme'.
The SURE event, which was attended by 30 Polish scientists and representatives of SMEs, triggered a lot of interest and a lively discussion amongst the audience.
The SRC is not a novice in space research.
www.esa.int /esaHS/SEMULMMVGJE_business_0.html   (246 words)

  
 SPACE.com -- Race is On For Next Tourist Trip to ISS
A Russian Soyuz spacecraft dominates this view of the International Space Station during a Jan. 14, 2002 spacewalk by Yuri Onufrienko and Carl Walz.
RussianAviation and Space Agency chief Yuri Koptev said Wednesday a single seatremains open for the taxi flight late this year and all it will take to securethe spot is a signed contract.
Moreover,Anderson, a space tourism advocate, doesnt see a problem in the fact that morethan one person is interested in flying on the same mission.
www.space.com /missionlaunches/soyuz_iss_020221.html   (799 words)

  
 [No title]
(Polish space.) The only CONTINUOUS linear functionals are the members of V2 (=finite linear combinations of coordinate projections).
Solovay showed that it is consistent with ZF (plus dependent choice) that every subset of a Polish space has the property of Baire (and thus that every linear functional on a Polish vector space has the property of Baire).
Brown claimed that the DIMENSION of the dual space of F^(N) is uncountable, not just that the dual space of F^(N)--as a set--is uncountable.
www.math.niu.edu /~rusin/known-math/00_incoming/duals   (2065 words)

  
 Proceedings of the American Mathematical Society
As a consequence, a short proof of the Beer-Costantini Theorem on Polishness of the Wijsman topology is given.
G.Beer, A Polish topology for the closed subsets of a Polish space, Proc.
C.Costantini, On the hyperspace of a non-separable metric space, Proc.
www.ams.org /proc/1998-126-12/S0002-9939-98-04526-2/home.html   (197 words)

  
 UCSB Mathematics Graduate Student Seminar
In the beginning there are the Borel sets which are those obtained from the open sets of a given Polish space by the operations of complementation and countable union.
A Souslin space is a metric space which is a continuous image of the space N^N. Now denote the family of all the Souslin subsets of a space X by S(X), then if X is Polish, the members of S(X) will be called analytic sets.
In fact one characterization which alludes to a universal property specifies that Polish spaces are up to homeomorphism exactly the G_delta subspaces of the Hilbert Cube I^N. Another rather more interesting characterization is via a neat topological game: Let X be a nonempty topological space.
www.math.ucsb.edu /~matt/studentseminar_w05.html   (1078 words)

  
 The Polish Ambassador » Blog Archive » Space Escalade   (Site not responding. Last check: 2007-10-12)
A priveledged few, 3 in fact, were selected to floss these rides through the far regions of outer space.
One - because of my exploits in space, and two because I am a pillar of the international community.
My peeps and I recently put some spinners on the wheels, but because of the vacuous nature of space, they wouldn’t spin, so we just returned them for some dope grillz and fish sticks.
thepolishambassador.com /space-escalade   (623 words)

  
 SPACE.com -- Copernicus' Grave Found in Polish Church
WARSAW, Poland (AP) -- Polish archeologists believe they have located the grave of 16th-century astronomer and solar-system proponent Nicolaus Copernicus in a Polish church, one of the scientists announced Thursday.
Copernicus, who died in 1543 at 70 after challenging the ancient belief that the sun revolved around the earth, was buried at the Roman Catholic cathedral in the city of Frombork, 180 miles north of the capital, Warsaw.
Jerzy Gassowski, head of an archaeology and anthropology institute in Pultusk, central Poland, said his four-member team found what appears to be the skull of the Polish astronomer and clergyman in August, after a one-year search of tombs under the church floor.
www.space.com /news/ap_051103_copernicus.html   (376 words)

  
 Poland Takes Part In Europe'S First Satellite Navigation System
EGNOS is based on a network of reference stations all over Europe, and a new step towards implementing this network was the recent inauguration of facilities in Poland.
The Polish EGNOS RIMS station was inaugurated on September 27 in the presence of Wtodzimierz Marcinski, Deputy Minister of Scientific Research and Information Technology and Wojciech Halka, Undersecretary of State for Telecommunications in the Ministry of Infrastructure.
EGNOS is an initiative of the tripartite group: the European Space Agency (ESA), the European Commission and Eurocontrol.
www.spacedaily.com /news/gps-euro-04h.html   (826 words)

  
 Research
topologies on the (nonempty) closed (or compact) subsets of a topological space X have been studied from the beginning of the 20th century.
The so-called generalized compact-open topology on the space of partial maps with domains that are closed in a topological space X has been studied in connection with problems arising in differential equations, in mathematical economics, in convergence of dynamic programming models and other fields.
I managed to provide such an example in [7], where further results on hereditary Baireness of the Vietoris topology were proven using the strong Choquet game.
www.uncp.edu /home/laszlo/research.html   (1016 words)

  
 UNITED NATIONS SPACE PROGRAMME, CIVIL SOCIETY GROUPS TEAM UP TO CELEBRATE WORLD SPACE WEEK 2002 (4-10 OCTOBER)
A number of events for young people will be organized in various Australian cities, including Canberra and Sydney.  The Australian Space Research Institute will also be holding its spring sounding rocket launch campaign at Woomera during World Space Week.  The launches are open to the public and are used to fly small student payloads.
World Space Week will be celebrated across Latin America, with activities at the Bolivian National Astronomical Observatory, a World Space Week Web site maintained by Chile (www.geocities.com/espacio2002chile), and a "Deep Sky Conference" and telescope demonstration at Loyola College in the Dominican Republic.
A programme of events, including a Web conference, is being organized in Iran.  World Space Week celebrations are also being organized by the National Space Agency of Pakistan, in collaboration with M.A. Jinnah University and the University of Karachi.
www.un.org /news/Press/docs/2002/OS1781.doc.htm   (423 words)

  
 Analytic set - Wikipedia, the free encyclopedia
Note that the choice of the Polish space Y above is not very important; it could be replaced in the definition by a fixed uncountable Polish space, say Baire space or Cantor space or the real line.
An alternative characterization, in the specific (and important) case that X is Baire space, is that the analytic sets are precisely the projections of trees on
Similarly, the analytic subsets of Cantor space are precisely the projections of trees on
en.wikipedia.org /wiki/Analytic_set   (196 words)

  
 Array convergence of functions of the first Baire-class
of elements in a pointwise compact subset of the Baire-1 functions on a Polish space, whose iterated pointwise limit
This result generalizes easily to Hausdorff spaces which satisfy the first countability axiom.
In angelic spaces the notions of (relative) compactness, (relative) countable compactness and (relative) sequential compactness coincide.
www.math.utep.edu /Faculty/helmut/baire/baire.html   (753 words)

  
 Polish culture: "SPACE IN COLLAGES, COLLAGES IN SPACE"
Polish culture: "SPACE IN COLLAGES, COLLAGES IN SPACE"
A sculptor, creator of spatial forms, action artist, scenery designer, and educator, he is considered to have been among the originators of Polish Pop Art.
Midway through the 1950s he began creating assemblages out of mass-produced, everyday use items, which he arrayed strangely to create unusual meanings.
www.culture.pl /en/culture/artykuly/wy_wy_przestrzen_collage_zakopane   (291 words)

  
 Polish Jokes - Jokes   (Site not responding. Last check: 2007-10-12)
They marched in backwards and the Polish thought they were leaving!
Did you hear about the Polish Admiral who wanted to be burried at sea when he died?
On her dressing table he found a bottle of "Polish Remover"!
maxpages.com /timjokepage/Polish_Jokes - !http://www.maxpages.com/timjokepage/Polish_Jokes   (269 words)

  
 Springer Online Reference Works
Measure in a topological vector space) defined on the Borel
In particular, any polish space, or more generally Suslin space in the sense of Bourbaki, is Radon.
is a (non-negative) continuous linear functional on the space
eom.springer.de /r/r077170.htm   (231 words)

  
 [FPSPACE] Claim: Polish space tourist to fly in October   (Site not responding. Last check: 2007-10-12)
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The identity of the tourist
is a secret of the Russian Space Agency at the moment.andquot; Now,
without insulting a great nation, I have to express some reluctance
to believe this story without a better pedigree and verification.
www.friends-partners.org /pipermail/fpspace/2002-February/003829.html   (213 words)

  
 Krzysztof Ciesielski - Each Polish space cocompactly quasimetrizable
On April of 1998 Ralph Kopperman and Bob Flagg asked me whether every for Polish space there exists a countable collection
This fact implies, in particular, that the following properties are equivalent for every topological space
is a Lindelöf space arising from a quasimetric whose dual yields a compact (not necessarily
www.cms.math.ca /Events/winter98/w98-abs/node165.html   (129 words)

  
 Polish Space Venture
A family of four Polish people and a few of their Polish friends decided to move to America.
Every night since they moved in,the neighbors of the Polish havent gotten any sleep.
Eventually the neighbors got pissed off and went over to see what they were doing.
www.kaitaia.com /jokes/index.php?joke=Polish/Polish_Jokes8.txt   (126 words)

  
 HobbySpace - Other Space Link Lists
Apollo Eighteen: Space history, education, employment, news, and current debate
Destiny in Space by Robert Davis at Suite101.com
Space Science - Overview of Space Exploration by Mike Cluster
www.hobbyspace.com /Links/linkLists.html   (221 words)

  
 Metal Polish : Aviation Supplies, David Clark Headsets & Handheld GPS at SkyGeek.com
Don't like what you see select another method and hit apply.
Paste Metal, Plastic, Fiberglass Polish & Paint Restorer (1.76oz Blister Tube)
Paste Metal, Plastic, Fiberglass Polish & Paint Restorer (2lb Can)
www.skygeek.com /metalpolish.html   (602 words)

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