Effective chain complexes for twisted products
Marek Filakovsk\'y
TL;DR
This paper establishes conditions under which the chain complex of a twisted product can be simplified to a free finitely generated chain complex, aiding computational topology.
Contribution
It introduces weak sufficient conditions for reducing chain complexes of twisted products to a simpler, free finitely generated form.
Findings
Identifies weak conditions for chain complex reduction
Provides a method for simplifying twisted product complexes
Facilitates computational approaches in algebraic topology
Abstract
In the paper weak sufficient conditions for the reduction of the chain complex of a twisted product to a free finitely generated chain complex are found.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology · Molecular spectroscopy and chirality