同伦群与同调群(Homotopy group and homology group).doc,同伦群与同调群(Homotopy group and homology group) Pang, who is the greatest mathematicians in the late 19th century early 20th century France, he and Germany led by Hilbert maths at that time, inh
This paper seeks to demonstrate the relation between homology group and homotopy group. The result in this paper is a construction of the homology of a complex torus.Obeng-Denteh, WilliamAdjei, DavidGlobal Journal of Pure & Applied Sciences...
We develop persistent homology in the setting of filtrations of (Čech) closure spaces. Examples of filtrations of closure spaces include metric spaces
Since the homology group of dimension one is the fundamental group made Abelian, it contains only part of the information given by the fundamental group. Hence, it was expected that new concepts should be non-Abelian. Hurewicz introduced the homotopy type: two spaces X and Y have the same ...
13. Homotopy Invariance of Homology; Exact Sequences - Pierre Albin 01:16:20 14. Long Exact Sequence of Pairs Triples; Excision - Pierre Albin 01:15:30 15. Proof of the Excision Theorem - Pierre Albin 01:19:08 16. Equivalence of Simplicial and Singular Homology - Pierre Albin 01:19...
Classification of stable homotopy types with torsion-free homology We compute the number of indecomposable stable homotopy types with finitely generated torsion free homology of stable dimension k0. HJ Baues,Y Drozd - 《Topology》 被引量: 29发表: 2001年 Natural Models of Homotopy Type Theory (Abst...
We prove that special examples p of these operators control all homological aspects of the rational representation theory of the algebraic group GL2, over a field of positive characteristic. We prove that when x is a Rickard tilting complex, the operators (c, x) honour derived equivalences in ...
groups which are the homotopy group analog of homology groups with co- efficients. The essence of it is captured in the sections 1.1 through 1.7 which start with the definition and end with the mod k Hurewicz theorem. It is basic ...
finitenessobstruction,andWhiteheadtorsiontheoremholdforfibred spaces.Forthisweintroducethecohomologyoffibredspaces. AMSSC:55R55(Fiberingswithsingularities);54H15(Transformation groupsandsemigroups).55R65(Generalizationsoffiberspacesandbundles);
主办单位: INT PRESS BOSTON, INC 出版地区: United States 出版周期: 半年刊 别名: 同源、同伦及应用;HOMOLOGY HOMOTOPY AND APPLICATIONS 国际标准连续出版物号: ISSN 1532-0073 创刊时间: 1998年 热门主题: MathematicsCategoryCohomologyHomologyCATEGORIESFiniteComplexGROUPSPACESHomotopy TheoryGroupsTheorem...