On Spaces of Topological Complexity Two
A. Boudjaj, Y. Rami
TL;DR
This paper classifies minimal cellular structures of spaces with topological complexity two using graded cohomological algebra, extending previous methods in the field.
Contribution
It introduces a classification framework for these spaces under specific cohomological conditions, advancing the understanding of their cellular structures.
Findings
Classification of minimal cellular structures achieved
Extension of existing methods to new classes of spaces
Provides a foundation for further topological complexity studies
Abstract
In this paper we consider the classification of minimal cellular structures of spaces of topological complexity two under some hypotheses on there graded cohomological algebra. This continues the method used by M.Grant et al. in [1].
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Taxonomy
TopicsTopological and Geometric Data Analysis · Homotopy and Cohomology in Algebraic Topology · Computability, Logic, AI Algorithms