A Small Polyhedral Z-Acyclic 2-Complex in R4
Frank H. Lutz, G\"unter M. Ziegler
TL;DR
This paper introduces a compact 4-dimensional polyhedral model of a 2-dimensional complex that is Z-acyclic but not contractible, illustrating a unique topological property.
Contribution
It provides the first small polyhedral realization of a Z-acyclic, non-contractible 2-complex in four dimensions.
Findings
Constructed a minimal 4D polyhedral complex with the desired properties
Demonstrated the complex's Z-acyclic but non-contractible nature
Contributed to understanding of topological and combinatorial properties of high-dimensional complexes
Abstract
We present a small 4-dimensional polyhedral realization of a 2-dimensional Z-acyclic but non-contractible simplicial complex.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Molecular spectroscopy and chirality · Axial and Atropisomeric Chirality Synthesis