On the Image of the Almost Strict Morse N -category under Almost Strict N -functors
نویسنده
چکیده
In an earlier work, we constructed the almost strict Morse n-category X which extends Cohen & Jones & 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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