2011/08/22 by Ángel Mauricio, Mauricio Angel, Angel, Mauricio +3
Computer Science · Mathematics · #Algebraic Topology (math.AT) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #Topological and Geometric Data Analysis #math.AT #math.QA
paper · pdf · doi:10.48550/arxiv.1108.4346
16 pages. Some of these results were presented for the XVIII Congreso Colombiano de Matemáticas in Bucaramanga, 2011
arxiv created 2011/08/22 · openalex publication_date 2011/08/22 · arxiv updated 2011/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article we study some interesting properties of the q-Analog singular homology, which is a generalization of the usual singular homology, suitably adapted to the context of N-complex and amplitude homology \citekapranov. We calculate the q-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 q-chains and its algebraic properties. Our result is consistent with those of Dubois-Violètte & Henneaux \citedubois3. Some of these results were presented for the XVIII Congreso Colombiano de Matemáticas in Bucaramanga, 2011.