On the cohomology of categories, universal Toda brackets and homotopy pairs

被引：7

作者：

Baues, HJ ^{[1
]}

机构：

[1] MAX PLANCK INST,FACHBEREICH MATH,D-53225 BONN,GERMANY

来源：

K-THEORY | 1997年 / 11卷 / 03期

关键词：

cohomology of a category universal Toda bracket; homotopy pair; two stage Postnikov tower; two stage CW-complex;

D O I：

10.1023/A:1007796409912

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A category of homotopy pairs is characterized by a cohomology class which generalizes the notion of Toda bracket. Explicit computations of such cohomology classes are described.

引用

页码：259 / 285

页数：27

共 27 条

[1]

Baues H. J, 1977, Lecture Notes in Mathematics, V628

[2]

Baues H.-J., 1991, Combinatorial Homotopy and 4-Dimensional Complexes

[3] COHOMOLOGY OF SMALL CATEGORIES [J].

BAUES, HJ ;

WIRSCHING, G .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1985, 38 (2-3) :187-211

[4] QUADRATIC FUNCTORS AND METASTABLE HOMOTOPY [J].

BAUES, HJ .

JOURNAL OF PURE AND APPLIED ALGEBRA, 1994, 91 (1-3) :49-107

[5]

Baues HJ, 1996, FUND MATH, V150, P265

[6]

BAUES HJ, 1996, OXFORD MATH MONOGRAP

[7] ON THE CATEGORY OF HOMOTOPY PAIRS [J].

HARDIE, KA .

TOPOLOGY AND ITS APPLICATIONS, 1982, 14 (01) :59-69

[8] EXACT SEQUENCES IN STABLE-HOMOTOPY PAIR THEORY [J].

HARDIE, KA ;

JANSEN, AV .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 286 (02) :803-816

[9] THE COHERENT HOMOTOPY CATEGORY OVER A FIXED SPACE IS A CATEGORY OF FRACTIONS [J].

HARDIE, KA ;

KAMPS, KH ;

PORTER, T .

TOPOLOGY AND ITS APPLICATIONS, 1991, 40 (03) :265-274

[10] COHOMOLOGY OF ALGEBRAIC THEORIES [J].

JIBLADZE, M ;

PIRASHVILI, T .

JOURNAL OF ALGEBRA, 1991, 137 (02) :253-296

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