A multiplicative structure in the cohomological version of Conley index is described following a joint paper by the author with K. Gęba and W. Uss. In the case of equivariant flows we apply a normalization procedure known from equivariant degree theory and we propose a new continuation invariant. The theory is applied then to obtain a mountain pass type theorem. Another illustrative application is a result on multiple bifurcations for some elliptic PDE.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-4,
author = {Zdzis\l aw Dzedzej},
title = {Module structure in Conley theory with some applications},
journal = {Banach Center Publications},
volume = {102},
year = {2014},
pages = {59-76},
zbl = {06309899},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-4}
}
Zdzisław Dzedzej. Module structure in Conley theory with some applications. Banach Center Publications, Tome 102 (2014) pp. 59-76. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-4/