Open AccessOn cohomology of the invariant part of an isolating block
Author(s) -
Roman Srzednicki
Publication year - 1999
Publication title -
topological methods in nonlinear analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.623
H-Index - 23
ISSN - 1230-3429
DOI - 10.12775/tmna.1999.032
Subject(s) - mathematics , invariant (physics) , cohomology , overline , block (permutation group theory) , combinatorics , pure mathematics , discrete mathematics , mathematical physics , physics , particle physics
In this paper we review some old and new results on cohomologyof the maximal invariant set inside of an isolating block $B$.In particular, we prove the following one: If $u\cup c v$ is nonzerofor some $u\in\overline{H}^*(B)$ and$v\in \overline H^*(B,B^-)$ then the restriction of $u$ to $\overline H^*(S)$is nontrivial.
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