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	Topology - Wikipedia, the free encyclopedia
		Topology (Greek topos, place and logos, study) is a branch of mathematics concerned with spatial properties preserved under bicontinuous deformation (stretching without tearing or gluing); these are the topological invariants.
		Topology has sometimes been called rubber-sheet geometry, because it does not distinguish between a circle and a square (a circle made out of a rubber band can be stretched into a square) but does distinguish between a circle and a figure eight (you cannot stretch a figure eight into a circle without tearing).
		Internally to the subject, elementary topology is often called point-set topology or general topology, to distinguish it from more advanced areas such as algebraic topology (which grew out of combinatorial topology), geometric topology and low-dimensional topology dealing for example with knot theory, and differential topology.
	en.wikipedia.org /wiki/Topology (1536 words)

	Learn more about Topology in the online encyclopedia. (Site not responding. Last check: 2007-10-09)
		In mathematics, topology is a branch concerned with the study of topological spaces.
		The root of topology was in the study of geometry in ancient cultures.
		In pointless topology one considers instead the lattice of open sets as the basic notion of the theory, while Grothendieck topologies are certain structures defined on arbitrary categories which allow the definition of sheaves on those categories, and with that the definition of quite general cohomology theories.
	www.onlineencyclopedia.org /t/to/topology_1.html (1178 words)

	Topology - Encyclopedia.WorldSearch (Site not responding. Last check: 2007-10-09)
		Topology (Greek topos = place and logos = word) is a branch of mathematics concerned with the study of topological spaces.
		Topology is concerned with the study of the so-called topological properties of figures, that is to say properties that do not change under bicontinuous one-to-one transformations (called homeomorphisms).
		"Topology", its English form, was introduced in print by Solomon Lefschetz in 1930 to replace the earlier name "analysis situs." The separate status of the topologist, a specialist in topology, was probably established from around 1920.
	encyclopedia.worldsearch.com /topology.htm (1315 words)

	Read about Topology at WorldVillage Encyclopedia. Research Topology and learn about Topology here! (Site not responding. Last check: 2007-10-09)
		Topology is concerned with the study of the so-called
		Seven Bridges of Königsberg is regarded as one of the first results on geometry that does not depend on any measurements, i.e., one of the first topological results.
		hairy ball theorem of algebraic topology says that "one cannot comb the hair on a ball smooth".
	encyclopedia.worldvillage.com /s/b/Topology (1135 words)

	Link Layer Support for Quality of Service on Wireless Internet Links
		Link layer schemes generally have the advantage of working at the local level, with intimate knowledge of the wireless link and low round-trip delays that allow fast recovery.
		Figure 4 depicts the two wireless link topology simulated which consists of two CT links joined by an Ethernet (10 Mb/s, 1 ms), with the communicating parties being two wireless users at either end of the path.
		In this topology the sender is at the wired end and the receiver at the wireless end of the path, simulating a wireless client receiving data from a wired server.
	www.comsoc.org /pci/private/1999/oct/Polyzos.html (6693 words)

	[No title]
		This is considered as a neighbor loss if the link described by the expired tuple was the last link with a neighbor node (on the contrary, a link with an interface may break while a link with another interface of the neighbor node remains without being observed as a neighborhood change).
		If link layer information describing connectivity to neighboring nodes is available (i.e., loss of connectivity such as through absence of a link layer acknowledgment), this information is used in addition to the information from the HELLO-messages to maintain the neighbor information base and the MPR selector set.
		Once a link is detected as lost, it is advertised, in accordance with the provisions described in the previous sections of this specification.
	ietf.org /rfc/rfc3626.txt (8964 words)

	Link Prediction and Path Analysis Using Markov Chains
		Link prediction is used to build a navigation agent which suggests (to the user) which other sites/links would be of interest to the user based on the statistics of previous visits (either by this particular user or a collection of users').
		The rank/depth of the correct link is measured by counting the number of links which have a probability greater than or equal to the correct link.
		Links can be predicted correctly with the highest state probability over 60% of the time, and over 70% of the correct links are in the top 20 scoring states.
	www9.org /w9cdrom/68/68.html (5028 words)

	Extensible Markup Language (XML): Part 2. Linking Version 1.0 (Site not responding. Last check: 2007-10-09)
		The existence of a link is asserted by a linking element.
		A simple link may contain only one locator; thus there is no necessity for a separate child element, and the locator attributes are attached directly to the linking element.
		Thus, when a locator in an XML linking element identifies a resource that is not an XML document (for example, an HTML or PDF document), this specification does not constrain the syntax or semantics of the query nor of the fragment specifier.
	www.w3.org /pub/WWW/TR/WD-xml-link-970406.html (4582 words)

	Zvon - RFC 3626 [Optimized Link State Routing Protocol (OLSR)] - Protocol Functioning
		Link Sensing Link Sensing is accomplished through periodic emission of HELLO messages over the interfaces through which connectivity is checked.
		Topology Control Message Diffusion Topology Control messages are diffused with the purpose of providing each node in the network with sufficient link-state information to allow route calculation.
		Topology Control messages are diffused in correspondence with the provisions in section 9.
	www.zvon.org /tmRFC/RFC3626/Output/chapter2.html (771 words)

	Chapter 5: Topology
		Physical topology should not be confused with logical topology which is the method used to pass information between workstations.
		A star topology is designed with each node (file server, workstations, and peripherals) connected directly to a central network hub or concentrator (See fig.
		A star-wired ring topology may appear (externally) to be the same as a star topology.
	fcit.usf.edu /network/chap5/chap5.htm (718 words)

	Ethernet
		Link compatibility requires that the transmitters at each end of the link be connected to the receivers at the other end of the link.
		Link aggregation is a recent optional MAC capability that allows several physical links to be combined into one logical higher-speed trunk.
		Link aggregation should be viewed as a network configuration option that is primarily used in the few interconnections that require higher data rates than can be provided by single links, such as switch-to-switch and in switch-to-file server.
	www.cisco.com /univercd/cc/td/doc/cisintwk/ito_doc/ethernet.htm (10000 words)

	Exploring Link Topology for Associating Web Pages
		The purpose of each link is indicated as its label.
		Obviously, the links connecting these pages are not intended to express such associations and the authors were not coordinated to make the links and anchors semantics consistent across the Web.
		Links have been used in many fields to associate documents.
	www9.org /final-posters/73/poster73.html (742 words)

	[No title]
		Since the number of such links contributes to the value of the document in such calculations, we wish to recognize and eliminate nepotistic links --- links between pages that are present for reasons other than merit.
		Links clearly contain highquality semantic clues that are lost upon a purely termbased classifier, but exploiting link information is non-trivial because it is noisy.
		The links and text on a user's homepage to the mailing lists the user subscribes to are reflections of social interactions a user has in the real world.
	www-users.cs.umn.edu /~desikan/research/linkanalysis/papers.html (7296 words)

	The Stochastic Approach for Link-Structure Analysis (SALSA) and the TKC Effect
		Note that informative links provide a positive critical assessment of q's contents which originates from outside the control of the author of q (as opposed to assessments based on q's textual content, which is under complete control of q's author).
		There are many kinds of links which confer little or no authority ([4]), such as intra-domain (inner) links (whose purpose is to provide navigational aid in a complex Web site of some organization), commercial/sponsor links, and links which result from link-exchange agreements.
		Prior to the WWW age, link structures were studied in the area of bibliometrics, which studies the citation structure of written documents ([23],[15]).
	www9.org /w9cdrom/175/175.html (7290 words)

	Webopedia: Network Topologies
		Topology refers to the shape of a network, or the network's layout.
		How different nodes in a network are connected to each other and how they communicate are determined by the network's topology.
		In a true mesh topology every node has a connection to every other node in the network.
	www.webopedia.com /quick_ref/topologies.asp (160 words)

	BUBL LINK: Topology
		Links to numerous topology related Web resources including online journals and articles covering geometric and algebraic topology.
		A fully refereed international journal dealing with all aspects of geometry and topology and their applications.
		Mathematical journal of research in topology, including the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g.
	bubl.ac.uk /link/t/topology.htm (147 words)

	Directory Replication Basics for Windows 2000
		If a site link has more than two sites, all of the sites in the site link are considered connected in a NxN fully connected star topology.
		Without site links, the KCC has no information about the sites that are reachable on the network and does not know the relative costs of the WAN links between the sites.
		A bridge allows site links that share a common site to route through that site and produce a transitive path that is the sum of the individual site links.
	support.microsoft.com /support/kb/articles/q199/1/74.ASP (1455 words)

	Link topology -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-09)
		Link topology -- Facts, Info, and Encyclopedia article
		Link Topology is the study of the linked structure of the (Computer network consisting of a collection of internet sites that offer text and graphics and sound and animation resources through the hypertext transfer protocol) World Wide Web.
		See also: (Click link for more info and facts about Link awareness) Link awareness
	www.absoluteastronomy.com /encyclopedia/l/li/link_topology.htm (60 words)

	XML Linking Language (XLink) Design Principles (Site not responding. Last check: 2007-10-09)
		It is a requirement to allow for "open systems" of linking where not all resources are under the control of a single person or organization (along with easier "closed systems").
		In particular, XLink characteristics should be explained in a fashion that does not confuse the link topology with the XML syntax used to express links.
		However, with links the focus is on the desired locations, while with queries the focus is on the specification itself.
	www.w3.org /TR/NOTE-xlink-principles (1274 words)

	PMath467 (Site not responding. Last check: 2007-10-09)
		This course is an introduction to Algebraic Topology, a subject that uses algebraic objects such as groups or rings to solve topological problems.
		Topology is the study of geometric objects that are invariant under continuous deformations.
		All of the topological spaces considered this course can be considered as subsets of Euclidean n-space, so we do not need any weird topologies.
	www.student.math.uwaterloo.ca /~pmat467 (362 words)

	Graph Mining and Link Analysis Reading Group, Summer 2002 (Site not responding. Last check: 2007-10-09)
		Probabilistic Models of Text and Link Structure for Hypertext Classification, Lise Getoor, Eran Segal, Ben Taskar, Daphne Koller (2001).
		Stable Algorithms for Link Analysis (2001) Andrew Y. Ng, Alice X. Zheng, Michael I. Jordan.
		Probabilistic Models of Text and Link Structure for Hypertext Classification, Lise Getoor, Eran Segal, Ben Taskar, Daphne Koller, IJCAI Workshop on "Text Learning:Beyond Supervision", Seattle, WA, August 2001.
	www.cs.umd.edu /%7Eqinglu/summer02-reading.htm (967 words)

	Inferring Web Communities from Link Topology - Kleinberg, David, Jon, Prabhakar (ResearchIndex) (Site not responding. Last check: 2007-10-09)
		Abstract: The World Wide Web grows through a decentralized, almost anarchic process, and this has resulted in a large hyperlinked corpus without the kind of logical organization that can be built into more traditionally-created hypermedia.
		To extract meaningful structure under such circumstances, we develop a notion of hyperlinked communities on the www through an analysis of the link topology.
		By invoking a simple, mathematically clean method for defining and exposing the structure of these communities,...
	citeseer.ist.psu.edu /gibson98inferring.html (526 words)

	Encyclopedia article on Topology [EncycloZine] (Site not responding. Last check: 2007-10-09)
		Two figures that can be deformed one into the other are called homeomorphic, and are considered to be the same from the topological point of view.
		Products related to Topology: books, DVD, electronics, garden, kitchen, magazines, music, photo, posters, software, tools, toys, VHS, videogames
		Visit Curious-Minds.co.UK for educational games and toys, and science kits.
	encyclozine.com /Topology (1356 words)

	Geometry/Topology Seminar
		Depending on the representations, the mapping class group actions display diverse dynamical behavior.
		Complicated dynamics of the mapping class group action accompanies complicated topology of the moduli space.
		Two of the most basic spaces in the theory of Riemann surfaces represent extreme cases: (1) The Teichmuller space is contractible with proper action of the mapping class group.
	www.math.uchicago.edu /%7Egeometry/gt_seminar.html (857 words)

	Cheap Hosting : rioroute : PHP \| JSP \| JAVA \| WebSite \| Web Page \| Web Host (Site not responding. Last check: 2007-10-09)
		Get the link** number used for the 1st 8 phbs on this unit.
		Invalidate all the link** interconnectivity of this unit, and of
		If not all links** are disconnected then we can forget about it.
	www.oxxus.net /source/unix/source-rioroute.htm (2259 words)

	Identification of Clusters in the Web Graph Based on Link Topology (Site not responding. Last check: 2007-10-09)
		The web graph has recently been used to model the link structure of the Web.
		The studies of such graphs can yield valuable insights into web algorithms for crawling, searching and discovery of web communities.
		"Identification of Clusters in the Web Graph Based on Link Topology," ideas, p.
	csdl.computer.org /comp/proceedings/ideas/2003/1981/00/19810123abs.htm (212 words)

	D-Link Digital Home Devices To Have Microsoft "Longhorn" Link Layer Topology Discovery Protocol Built In
		D-Link Digital Home Devices To Have Microsoft "Longhorn" Link Layer Topology Discovery Protocol Built In support
		D-LINK DIGITAL HOME DEVICES TO HAVE MICROSOFT "LONGHORN" LINK LAYER TOPOLOGY DISCOVERY PROTOCOL BUILT IN D-Link Products Showcased in Network Topology: Connectivity Visualized Track Session at Microsoft WinHEC Event
		All other company or product names mentioned herein are trademarks or registered trademarks of their respective companies.
	presslink.dlink.com /pr/?prid=225 (841 words)

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