We discuss the gluing principle in Morse-Floer homology and show that there is a gap in the traditional proof of the converse gluing theorem. We show how this gap can be closed by the use of a uniform tubular neighborhood theorem. The latter result is only stated here. Details are given in the authors' paper, Tubular neighborhoods and the Gluing Principle in Floer homology theory, to appear.
@article{bwmeta1.element.bwnjournal-article-bcpv47i1p233bwm,
author = {Rinaldi, Maurizio and Rybakowski, Krzysztof},
title = {Some remarks on tubular neighborhoods and gluing in Morse-Floer homology},
journal = {Banach Center Publications},
volume = {50},
year = {1999},
pages = {233-246},
zbl = {0967.53054},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv47i1p233bwm}
}
Rinaldi, Maurizio; Rybakowski, Krzysztof. Some remarks on tubular neighborhoods and gluing in Morse-Floer homology. Banach Center Publications, Tome 50 (1999) pp. 233-246. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv47i1p233bwm/
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