Double homology and wedge-decomposable simplicial complexes
Donald Stanley, Carlos Gabriel Valenzuela Ruiz
TL;DR
This paper investigates the double homology of wedge-decomposable simplicial complexes, revealing specific homology groups in particular bidegrees, thus advancing understanding of their algebraic topology.
Contribution
It introduces the concept of double homology for wedge-decomposable simplicial complexes and determines their homology groups in certain bidegrees, providing new theoretical insights.
Findings
Double homology of wedge-decomposable complexes is $igoplus$ in bidegrees (0,0) and (-1,4).
Wedge-decomposable complexes have a predictable double homology structure.
The work advances algebraic topology understanding of simplicial complexes.
Abstract
We show a wedge-decomposable simplicial complex has associated double homology in bidegrees , .
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Taxonomy
TopicsTopological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models