-Analog Singular Homology of Convex Spaces

Abstract:

In this article we study some interesting properties of the -Analog singular homology, which is a generalization of the usual singular homology, suitably adapted to the context of -complex and amplitude homology \cite{kapranov}. We calculate the -Analog singular homology of a convex space. Although it is a local matter; this is an important step in order to understand the presheaf of -chains and its algebraic properties. Our result is consistent with those of Dubois-Viol\`ette & Henneaux \cite{dubois3}. Some of these results were presented for the XVIII Congreso Colombiano de Matem\'aticas in Bucaramanga, 2011.

Año de publicación:

2011

Keywords:

Fuente:

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