Titlebook: Homology Theory; An Introduction to A James W. Vick Textbook 1994Latest edition Springer Science+Business Media New York 1994 Algebraic top

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書目名稱Homology Theory影響因子(影響力)




書目名稱Homology Theory影響因子(影響力)學(xué)科排名




書目名稱Homology Theory網(wǎng)絡(luò)公開度




書目名稱Homology Theory網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Homology Theory被引頻次




書目名稱Homology Theory被引頻次學(xué)科排名




書目名稱Homology Theory年度引用




書目名稱Homology Theory年度引用學(xué)科排名




書目名稱Homology Theory讀者反饋




書目名稱Homology Theory讀者反饋學(xué)科排名

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Custodian

,Manifolds and Poincaré Duality,tailed proof of the theorem. The approach used follows the excellent treatment of Samelson [1965, pp. 323–336] and proceeds by way of the Thorn isomorphism theorem. Several applications of the theorem follow, including the determination of the cohomology rings of projective spaces and results on the index of topological manifolds and cobordism.

聯(lián)合

Pseudoephedrine

Dendritic-Cells

Covering Spaces, this connection, the relations among the covering spaces over a given base are expressed in terms of the subgroups of the fundamental group of the base. The chapter closes with an examination of the relationship between the fundamental group and the first homology group and a discussion of Van Kampen’s Theorem, a useful computational tool.

Geyser

Indurate

Attaching Spaces with Maps, theorem is proved. It is shown that the relative groups of adjacent skeletons produce a finitely generated chain complex whose homology is the homology of the space, and this is applied to compute the homology of real projective spaces.

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Singular Homology Theory,omotopy invariance, the essential computational tool (Theorem 1.14) is stated. Its proof is deferred to Appendix I so that the exposition need not be interrupted by its involved constructions. The Mayer-Vietoris sequence is noted as an immediate corollary of this theorem, and then applied to compute

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