The Hurewicz theorem for cubical homology

DOI10.1007/s00209-023-03352-0zbMath1527.55005arXiv2207.12500MaRDI QIDQ6090622

Krzysztof Kapulkin, Daniel Carranza, Andrew Tonks

Publication date: 17 November 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.12500

Mathematics Subject Classification ID

Loop spaces (55P35) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Singular homology and cohomology theory (55N10)

Cites Work

• The cubical category with connections is a strict test category
• Colimit theorems for relative homotopy groups
• Cubical groups which are Kan
• Homology groups of cubical sets with connections
• Simplicial homotopy theory
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