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Topic: Meagre set


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In the News (Thu 4 Dec 08)

  
 PlanetMath: Baire category theorem   (Site not responding. Last check: 2007-11-01)
Alternative formulations: Call a set first category, or a meagre set, if it is a countable union of nowhere dense sets, otherwise second category.
It may also be taken as giving a concept of “small sets”, similar to sets of measure zero: a countable union of these sets remains “small”.
Note that, apart from the requirement that the set be a complete metric space, all conditions and conclusions of the theorem are phrased topologically.
planetmath.org /encyclopedia/BaireCategoryTheorem.html   (428 words)

  
 Banach-Mazur game - One Language   (Site not responding. Last check: 2007-11-01)
In mathematics, in particular in general topology and set theory, a Banach-Mazur game is a game played between two players, trying to pin down elements in a set (space).
The corresponding notion for topology is the concept of a set being of the first category or meagre.
A set is meagre if it is the countable union of nowhere dense sets.
www.onelang.com /encyclopedia/index.php/Banach-Mazur_game   (560 words)

  
 Trade union - Wikipedia, the free encyclopedia
The compulsory hiring hall is the most extreme example of a closed shop—in this case the employer must recruit directly from the union.
Workplace militancy had also manifested itself as Luddism and had been prominent in struggles such as the 1820 Rising in Scotland where 60,000 workers went on a general strike, which was soon crushed.
From 1830 on, attempts were made to set up national general unions, most notably Robert Owen's Grand National Consolidated Trades Union in 1834, which attracted a range of socialists from Owenites to revolutionaries.
en.wikipedia.org /wiki/Trade_union   (3831 words)

  
 Mineralogy - LoveToKnow 1911   (Site not responding. Last check: 2007-11-01)
Talc is unctuous or soapy to the touch; tripolite and trachyte are respectively meagre and harsh.
By the weathering and disintegration of igneous and metamorphic rocks the various minerals set free and the products of decomposition of others supply the material of sedimentary rocks; thus sandstones consist largely of quartz, shales of kaolin and other clay minerals.
By the weathering of the metallic minerals of mineral-veins numerous other finely crystallized minerals result: for example, in the upper oxidized portion of veins of lead-ore (galena), crystals of anglesite, cerussite and pyromorphite are often met with; in veins of copper-ore the alteration of chalcopyrite gives rise to malachite, chessylite and cuprite.
www.1911ency.org /M/MI/MINERALOGY.htm   (7276 words)

  
 CATHOLIC ENCYCLOPEDIA: Inquisition
It was looked upon as a remarkable favour when, in 1330, through the good offices of the Archbishop of Toulouse, the French king permitted a dignitary of a certain order to visit the "In Pace" twice a month and comfort his imprisoned brethren, against which favour the Dominicans lodged with Clement VI a fruitless protest.
But having set up the principle of private judgment, which, logically applied, made heresy impossible, the early Reformers proceeded to treat dissidents as the medieval heretics had been treated.
To suggest that this was inconsistent is trivial in view of the deeper insight it affords into the meaning of a tolerance which is often only theoretical and the source of that intolerance which men rightly show towards error, and which they naturally though not rightly, transfer to the erring.
www.newadvent.org /cathen/08026a.htm   (12683 words)

  
 TheatreBooks: Costume & Fashion: Costume
This all-inclusive CD-ROM and book set, based on historical sources and meticulously rendered by a noted fashion illustrator, spans hundreds of years of clothing history.
Making Stage Costumes is for anyone who finds that, despite a lack of experience and a meagre budget, they want and need to invent and create stage costumes.
Written in a practical style that draws on the author's own enthusiasm and experience, it shows you how to make your ideas come to life on the stage.
www.theatrebooks.com /costume_fashion   (1769 words)

  
 COURT - Online Information article about COURT   (Site not responding. Last check: 2007-11-01)
It is intelligible that they followed a precedent set by Rome in that See also:
information is of the most meagre and unsatisfactory See also:
Chronicle the kingdom of Sussex was founded by a certain See also:
encyclopedia.jrank.org /COR_CRE/COURT.html   (5057 words)

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