Glasnik matematički, Vol. 42 No. 1, 2007.
Original scientific paper
https://doi.org/10.3336/gm.42.1.11
A spectral sequence for the group of self-maps which induce identity automorphisms of homology groups
Petar Pavešić
orcid.org/0000-0001-7827-9900
; Fakulteta za Matematiko in Fiziko, Univerza v Ljubljani, Jadranska 19, 1000 Ljubljana, Slovenija
Abstract
Let Aut*(X) denote the group of homotopy classes of self-maps of X which induce identity automorphisms of homology groups. We construct a spectral sequence converging to Aut*(X), induced by the cellular decomposition of X, and use it to obtain some structural and computational results.
Keywords
Self-homotopy equivalence; cellular decomposition; spectral sequence; Cartan-Eilenberg method; nilpotent group; localization
Hrčak ID:
12891
URI
Publication date:
12.6.2007.
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