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On the image of the almost strict Morse n-category under almost strict n-functors
Theory and applications of categories, Tome 29 (2014), pp. 21-47.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

In an earlier work, we constructed the almost strict Morse n-category $\mathcal X$ which extends Cohen and Jones and Segal's flow category. In this article, we define two other almost strict n-categories $\mathcal V$ and $\mathcal W$ where $\mathcal V$ is based on homomorphisms between real vector spaces and $\mathcal W$ 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 $\mathcal F : \mathcal X \to \mathcal V$ and $\mathcal G : \mathcal X \to \mathcal W$.
Publié le :
Classification : 18B99, 18D99, 55U99, 58E05
Keywords: n-category, Morse theory, functors, moduli spaces 
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     author = {Sonja Hohloch},
     title = {On the image of the almost strict {Morse} n-category under almost strict 
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Sonja Hohloch. On the image of the almost strict Morse n-category under almost strict 
n-functors. Theory and applications of categories, Tome 29 (2014), pp. 21-47. http://geodesic.mathdoc.fr/item/TAC_2014_29_a2/