Title
On the image of the almost strict Morse n-category under almost strict n-functors On the image of the almost strict Morse n-category under almost strict n-functors
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Subject
Mathematics
Source (journal)
Theory and applications of categories. - -
Volume/pages
29(2014) , p. 21-47
ISSN
1201-561X
ISI
000339592600003
Carrier
E
Target language
English (eng)
Abstract
In an earlier work, we constructed the almost strict Morse n-category X which extends Cohen Sz Jones Sz Segal's flow category. In this article, we define two other almost strict n-categories V and W where V is based on homomorphisms between real vector spaces and W consists of tuples of positive integers. The Morse index and the dimension of the Morse moduli spaces give rise to almost strict n-category functors F: X -> V and G: X -> W
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