A spectral sequence for the group of self-maps which induce identity automorphisms of homology groups | Zendy

Petar Pavešić | Zendy

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A spectral sequence for the group of self-maps which induce identity automorphisms of homology groups

Author(s) -

Petar Pavešić

Publication year - 2007

Publication title -

glasnik matematicki

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.332

H-Index - 17

eISSN - 1846-7989

pISSN - 0017-095X

DOI - 10.3336/gm.42.1.11

Subject(s) - mathematics , automorphism , spectral sequence , homology (biology) , automorphisms of the symmetric and alternating groups , pure mathematics , identity (music) , group (periodic table) , combinatorics , sequence (biology) , biology , chemistry , genetics , physics , amino acid , cohomology , organic chemistry , acoustics

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

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