Secondary Cohomology and k-invariants

被引：5

作者：

Staic, Mihai D. ^{[1
,2
]}

机构：

[1] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA

[2] Acad Romana, Inst Math, RO-70700 Bucharest, Romania

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2012年 / 19卷 / 03期

关键词：

k-invariant; group cohomology; MODULES;

D O I：

10.36045/bbms/1347642383

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a construction that associates to a pointed topological space (X, x(0)) a homotopy invariant 2 kappa(4) which we call the secondary invariant. This construction can be seen a "3-type" generalization of the classical k-invariant.

引用

页码：561 / 572

页数：12

共 50 条

[1] PROJECTIVE K-INVARIANTS
DYER, MN
COMMENTARII MATHEMATICI HELVETICI, 1976, 51 (02) : 259 - 277
[2] K-INVARIANTS IN LOCAL COEFFICIENT THEORY
SIEGEL, J
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 29 (01) : 169 - &
[3] NON-ARCHIMEDEAN QUANTUM K-INVARIANTS
Porta, Mauro
Yueyu, Tony
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2024, 57 (03):
[4] The first two k-invariants of Top/O
Kupers, Alexander
ARCHIV DER MATHEMATIK, 2024, 123 (04) : 385 - 391
[5] Safety Verification and Refutation by k-Invariants and k-Induction
Brain, Martin
Joshi, Saurabh
Kroening, Daniel
Schrammel, Peter
STATIC ANALYSIS (SAS 2015), 2015, 9291 : 145 - 161
[6] K-INVARIANTS IN KAN FIBRATIONS WITH FIBER K(G, N)
SAVITSKAYA, TN
MATHEMATICAL NOTES, 1986, 39 (5-6) : 488 - 494
[7] The range of K-invariants for C*-algebras of infinite graphs
Szymanski, W
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2002, 51 (01) : 239 - 249
[8] THE ORDER OF K-INVARIANTS IN THE THEORY OF COBORDISMS WITH SINGULARITIES
FAM, NAK
DOKLADY AKADEMII NAUK SSSR, 1985, 281 (04): : 806 - 809
[9] K-INVARIANTS IN THE UNIVERSAL ENVELOPING ALGEBRA OF THE DESITTER GROUP
BREGA, A
TIRAO, J
MANUSCRIPTA MATHEMATICA, 1987, 58 (1-2) : 1 - 36
[10] HOMOLOGY 4-SPHERES WITH DISTINCT K-INVARIANTS
SUCIU, A
TOPOLOGY AND ITS APPLICATIONS, 1987, 25 (01) : 103 - 110

← 1 2 3 4 5 →