crusade 发表于 2025-3-21 18:10:23

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注意 发表于 2025-3-21 20:30:37

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GROWL 发表于 2025-3-22 03:54:27

Book 1995ogical algebra arose from many sources in algebra and topology. Decisive examples came from the study of group extensions and their factor sets, a subject I learned in joint work with OTTO SCHIL­ LING. A further development of homological ideas, with a view to their topological applications, came in

修正案 发表于 2025-3-22 07:20:35

1431-0821 des. Homological algebra arose from many sources in algebra and topology. Decisive examples came from the study of group extensions and their factor sets, a subject I learned in joint work with OTTO SCHIL­ LING. A further development of homological ideas, with a view to their topological application

哪有黄油 发表于 2025-3-22 09:24:00

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减去 发表于 2025-3-22 13:12:57

Homology of Complexes,elian group with a boundary operator is called a “differential group” or, when provided with dimensions, a “chain complex”. This chapter considers the algebraic process of constructing homology and cohomology groups from chain complexes. Basic is the fact (§ 4) that a short exact sequence of complex

Hay-Fever 发表于 2025-3-22 19:29:02

Extensions and Resolutions,sions, suitably classified by a congruence relation, are the elements of a group Ext.(.). To calculate this group, we present . as the quotient .=./. of a free module .; this process can be iterated as .=./., .=./.,… to give an exact sequence⋯→.→.→⋯→.→.→.→0called a “free resolution” of .. The comple

Antimicrobial 发表于 2025-3-23 00:48:00

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轻推 发表于 2025-3-23 05:25:54

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FLINT 发表于 2025-3-23 05:54:36

Spectral Sequences,se successive approximations are codified in the notion of a spectral sequence. In this chapter we first formulate the mechanism of these sequences and then proceed to several applications, ending with another general theorem (the comparison theorem). Other applications will appear in the next chapt
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查看完整版本: Titlebook: Homology; Saunders Mac Lane Book 1995 Springer-Verlag Berlin Heidelberg 1995 Abelian group.Factor.algebra.auditor.cohomology.collaboration