Definitions
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- noun Plural form of
homeomorphism .
Etymologies
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Examples
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The widespread existence of homeomorphisms, which are not defined in terms of evolution, can be used as evidence for evolution.
THE GREATEST SHOW ON EARTH RICHARD DAWKINS 2009
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The widespread existence of homeomorphisms, which are not defined in terms of evolution, can be used as evidence for evolution.
THE GREATEST SHOW ON EARTH RICHARD DAWKINS 2009
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However, it is possible to prove the Loomis-Sikorski representation theorem without choice; see for instance canonical, but it is not unique (in contrast to the situation with the Stone representation theorem, where Lemma 1 provides uniqueness up to homeomorphisms).
What's new 2009
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The important difference between a differentiable manifold and a topological manifold is that the charts are diffeomorphisms (a differentiable function with a differentiable inverse) rather than homeomorphisms.
Citizendium, the Citizens' Compendium - Recent changes [en] 2008
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In a more general setting there are three of these E_8’s: one the chiral dual to the first E_8 and the third an exceptional group required to define homeomorphisms over all four-manifolds that are configuration variables for quantum gravity states.
A Dark, Misleading Force Sean 2007
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