$q$-Analog Singular Homology of Convex Spaces
Algebraic Topology
2011-08-23 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1108.4346,
title = {$q$-Analog Singular Homology of Convex Spaces},
author = {Mauricio Angel and Gabriel Padilla},
journal= {arXiv preprint arXiv:1108.4346},
year = {2011}
}
Comments
16 pages. Some of these results were presented for the XVIII Congreso Colombiano de Matem\'aticas in Bucaramanga, 2011