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Topic: Isomorphism class

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	Isomorphism (Site not responding. Last check: 2007-11-06)
		The word "isomorphism" applies when two complex structures can be mapped onto each other, in such a way that to each part of one structure there is a corresponding part in the other structure, where "corresponding" means that the two parts play similar roles in their respective structures.
		Isomorphic structures are "the same" at some level of abstraction; ignoring the specific identities of the elements in the underlying sets, and focusing just on the structures themselves, the two structures are identical.
		In sociology, isomorphism is to a kind of "copying" or "imitation", especially of the practices of one organization by another.
	hallencyclopedia.com /Isomorphism (658 words)

	Isomorphism class -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-11-06)
		An isomorphism class is a collection of mathematical objects (Click link for more info and facts about isomorphic) isomorphic with a certain mathematical object.
		Examples of this are (The number designating place in an ordered sequence) ordinals and (A drawing illustrating the relations between certain quantities plotted with reference to a set of axes) graphs.
		The reason for this is that the existence of a path between two points allows one to identify loops at one with loops at the other; however, unless is (Click link for more info and facts about abelian) abelian this isomorphism is non-unique.
	www.absoluteastronomy.com /encyclopedia/i/is/isomorphism_class.htm (176 words)

	Read about Isomorphism class at WorldVillage Encyclopedia. Research Isomorphism class and learn about Isomorphism class ... (Site not responding. Last check: 2007-11-06)
		An isomorphism class is a collection of mathematical objects
		However, there are circumstances in which the isomorphism class of an object conceals vital internal information about it; for example, in
		conjugate subgroups, and therefore amalgamating the elements of an isomorphism class into a single featureless object seriously decreases the level of detail provided by the theory.
	encyclopedia.worldvillage.com /s/b/Isomorphism_class (211 words)

	ipedia.com: Isomorphism Article (Site not responding. Last check: 2007-11-06)
		In mathematics, an isomorphism is a kind of interesting mapping between objects.
		Douglas Hofstadter provides an informal definition: The word "isomorphism" applies when two complex structures can be m...
		Isomorphic structures are "the same" at a certain level of abstraction; ignoring the specific identities of the elements in the underlying sets and the names of the underlying relations, the two structures are identical.
	www.ipedia.com /isomorphism.html (320 words)

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