On cohomology of the invariant part of an isolating block

Roman Srzednicki

DOI: http://dx.doi.org/10.12775/TMNA.1999.032

Abstract


In this paper we review some old and new results on cohomology
of the maximal invariant set inside of an isolating block $B$.
In particular, we prove the following one: If $u\cup c v$ is nonzero
for some $u\in\overline{H}^*(B)$ and
$v\in \overline H^*(B,B^-)$ then the restriction of $u$ to $\overline H^*(S)$
is nontrivial.

Keywords


Isolating block; Ważewski Retract Theorem; Alexander-Spanier cohomology

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