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==[[Topology]]== ===[[Algebraic topology]]=== * [[Artin–Mazur profinite completion]] - * [[Alpha complex]] - *[[Cellular complex]] - <!--2008-10-16T21:29:25Z--> *[[Cheeger–Simons cohomology]] - *[[Curtis's convergence theorem]] *[[Delooping]] *[[Even periodic ring theory]] - <!--2008-05-03T19:11:28Z--> *[[Free homotopy group]] - <!--2007-04-14T19:35:26Z--> *[[Gauss map of a vector bundle]] (see Husemoller, Fibre Bundles) - <!--2008-10-15T11:44:04Z--> * [[geography problem for 4-manifolds]] - *[[homotopy groups of simplicial sets]] - <!--2008-04-26T16:10:40Z--> *[[Hyperbolic simplicial complex]] - <!--2006-11-04T18:34:56Z--> * [[Kashin's theorem]] (esp. relation to *[[compressed sensing]] [http://www.itsoc.org/publications/newsletters/itNL1208.pdf/at_download/file]p15)- * [[Mapping cylinder neighbourhood ]] * [[Motive (topology)]] - * [[Motivic spectrum]] - *[[one-relator group]] *[[Principle of monodromy]] *[[Strong shape theory]] - <!--2006-05-12T16:52:48Z--> *[[Topological cyclic homology]] * [[Whitehead tower]] *[[Witt space]] - <!--2005-12-18T06:04:21Z--> ===[[General topology]]=== *[[Affine fibration]] - <!--2006-04-07T12:18:31Z--> * [[Centered space]] -<ref name=Turzanski92/><ref>{{cite book | title=General topology II: compactness, homologies of general spaces | volume=50 | series=Encyclopaedia of mathematical sciences | first=A. | last=Arhangel'Skii | publisher=Springer-Verlag | year=1996 | isbn=0-387-54695-2 | zbl=0830.00013 | page=59 }}</ref> *[[Contiguity space]] - <!--2005-05-31T09:28:33Z--> * [[Dantian space]] -<ref name=Arhangelskii69>{{cite journal | mr=243485 | last=Arhangelʹskiĭ | first=A. V. | title=An approximation of the theory of dyadic bicompacta | language=Russian | journal=Dokl. Akad. Nauk SSSR | volume=184 | year=1969 | pages=767–770 }}</ref><ref name=Turzanski92>{{cite journal <!--| url=http://cmuc.karlin.mff.cuni.cz/--> | title= Strong sequences, binary families and Esenin-Volpin's theorem | journal=Commentationes Mathematicae Universitatis Carolinae | volume=33|issue=3 |year=1992|pages= 563-569|mr=1209298 | zbl=0796.54031 | url=https://eudml.org/doc/247365 |last=Turzański|first= Marian}}</ref> <!--2014-09-14--> * [[Density topology]] -<ref>{{cite journal | last=Tall | first=Franklin D. | title=The density topology | zbl=0305.54039 | journal=Pac. J. Math. | volume=62 | pages=275–284 | year=1976 | doi=10.2140/pjm.1976.62.275 }}</ref> *[[Double fibration]] - <!--2005-09-16T13:09:44Z--> *[[Gauss space]] - <!--2007-12-27T06:14:57Z--> *[[Hopf plumbing]] - <!--2010-05-25T15:05:48Z--> *[[Locally countable space]] - <!--2009-03-22T01:52:38Z--> *[[Locally equiconnected]] *[[Martin boundary]] - <!--2007-04-27T23:15:05Z--> *[[Overt space]] - <!--2012-12-30--> * [[Prodiscrete topology]] -<ref>{{cite journal | last = Šunić | first = Zoran | issue = 2 | journal = [[Bulletin of the American Mathematical Society]] | pages = 361–366 | title = Cellular automata and groups, by Tullio Ceccherini-Silberstein and Michel Coornaert (book review) | volume = 51 | year = 2014 | doi=10.1090/S0273-0979-2013-01425-3 }}</ref> * [[Separate continuity]] and [[Cross topology]] [https://core.ac.uk/download/pdf/82483694.pdf] *[[Template theory]] - <!--2008-08-20T11:55:12Z--> * [[Thick space]] -<ref name=Arhangelskii69/><ref name=Turzanski92/> <!--2014-09-14--> *[[Topological partition]] (Note, not the same as [[Partition topology]]) ===[[Geometric topology]]=== *[[equivariant Dehn lemma]] *<s>[[Euler's Forumula F + V − E = 2 polyhedrons faces, vertices, edges]]</s> See [[Euler characteristic]] *[[Lambda lemma]] - <!--2007-02-15T20:36:27Z--> *[[Propeller twisting]] - <!--2006-02-14T00:12:29Z--> *[[Regular neighborhood]] - <!--2006-11-16T03:22:40Z--> (not sure this needs an article–in case see http://math.stackexchange.com/questions/51484/definition-of-regular-neighborhood-for-curves-in-sg *[[KKM theory]] applications and generalizations of *[[Knaster–Kuratowski–Mazurkiewicz lemma]] - <!--2008-08-20T12:01:56Z--> *[[Theorem of alternatives]] Theorem of alternatives- <!--2015-04-10T20:36:27Z--> * [[Paradromic ring]] (Rings produced by cutting a strip that has been given m half twists and been re-attached into n equal strips (Ball and Coxeter 1987, pp. 127-128).) (http://mathworld.wolfram.com/ParadromicRings.html, https://en.wikipedia.org/wiki/M%C3%B6bius_strip#Properties). * [[Property R conjecture]] (already proven; there's also a generalization relevant for studying 3- and 4-manifolds and even Property 2R conjecture). ===[[Knot theory]]=== * [[Chayes–McKellar–Winn theorem]] - * [[knotscape]] software for knot theory *[[Kashaev invariant]], a kind of [[quantum invariant]] *[[Millett unknot]], a 2D representation of the [[unknot]] *[[Singular braid monoid]] <!--2006-09-24T09:28:07Z--> ===[[Stable homotopy theory]]=== * [[Moore spectrum]] *[[Hopkins–Miller theorem]] *[[periodicity theorem]] *[[Pontryagin–Thom collapse]] [http://mathoverflow.net/questions/7375/explanation-for-the-thom-pontryagin-construction-and-its-generalisations] *[[Root invariant]] *[[Schwede–Shipley theory]] *[[Simplicial homotopy theory]] (currently a redirect)
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