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Some remarks on tubular neighborhoods and gluing in Morse-Floer homology

Maurizio RinaldiKrzysztof Rybakowski — 1999

Banach Center Publications

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.

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