Document Zbl 0507.55001

Generalized Lefschetz numbers. (English) Zbl 0507.55001

Trans. Am. Math. Soc. 272, 247-274 (1982).

Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0507.55001

MSC:

55M20	Fixed points and coincidences in algebraic topology
54H25	Fixed-point and coincidence theorems (topological aspects)
55U15	Chain complexes in algebraic topology
55M25	Degree, winding number
20J05	Homological methods in group theory

Keywords:

Reidemeister trace; Nielsen number; generalized Lefschetz number; chain complexes; Hopf Trace Theorem; self-map of a finite CW complex; polyhedron satisfying the Wecken condition

Citations:

Zbl 0453.55002

Cite Review PDF

Full Text: DOI

References:

[1]	Robert F. Brown, The Lefschetz fixed point theorem, Scott, Foresman and Co., Glenview, Ill.-London, 1971. · Zbl 0216.19601
[2]	S. Eilenberg and N. E. Steenrod, Foundations of algebraic topology, Princeton Univ. Press, Princeton, N.J., 1951. · Zbl 0047.41402
[3]	Edward Fadell and Sufian Husseini, Fixed point theory for non-simply-connected manifolds, Topology 20 (1981), no. 1, 53 – 92. · Zbl 0453.55002 · doi:10.1016/0040-9383(81)90014-8
[4]	D. H. Gottlieb, A certain subgroup of the fundamental group, Amer. J. Math. 87 (1965), 840 – 856. · Zbl 0148.17106 · doi:10.2307/2373248
[5]	Dan McCord, An estimate of the Nielsen number and an example concerning the Lefschetz fixed point theorem, Pacific J. Math. 66 (1976), no. 1, 195 – 203. · Zbl 0342.55005
[6]	John Stallings, Centerless groups — an algebraic formulation of Gottlieb’s theorem, Topology 4 (1965), 129 – 134. · Zbl 0201.36001 · doi:10.1016/0040-9383(65)90060-1
[7]	Kurt Reidemeister, Automorphismen von Homotopiekettenringen, Math. Ann. 112 (1936), no. 1, 586 – 593 (German). · Zbl 0013.36903 · doi:10.1007/BF01565432
[8]	Franz Wecken, Fixpunktklassen. II. Homotopieinvarianten der Fixpunkttheorie, Math. Ann. 118 (1941), 216 – 234 (German). · Zbl 0026.27103 · doi:10.1007/BF01487362

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.