-Analog Singular Homology of Convex Spaces
arXiv:1108.4346
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-Violètte & Henneaux \cite{dubois3}. Some of these results were presented for the XVIII Congreso Colombiano de Matemáticas in Bucaramanga, 2011.
16 pages. Some of these results were presented for the XVIII Congreso Colombiano de Matemáticas in Bucaramanga, 2011