A Homeomorphism Invariant of Polyhedra
Qibing Zheng
TL;DR
This paper introduces a new bigraded L-homology for finite simplicial complexes and proves it remains unchanged under homeomorphisms, making it a novel invariant for polyhedra.
Contribution
The paper defines a new bigraded L-homology and establishes it as a homeomorphism invariant for polyhedra, advancing topological classification tools.
Findings
L-homology is a homeomorphism invariant
Introduces a new bigraded L-homology for simplicial complexes
Provides a method for topological classification of polyhedra
Abstract
In this paper, we define a new bigraded L-homology on finite simplicial complexes and prove that L-homology is a homeomorphism invariant of polyhedra.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics · Topological and Geometric Data Analysis