Alternate proofs for the \(n\)-dimensional resolution theorems

DOI10.1016/j.topol.2021.107883zbMath1489.54020arXiv1706.01259OpenAlexW3206423103WikidataQ113862544 ScholiaQ113862544MaRDI QIDQ2052568

Vera Tonić, Leonhard R. Rubin

Publication date: 26 November 2021

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01259

zbMATH Keywords

dimensioncohomological dimensionCW-complexcompactumabsolute neighborhood retractinverse sequencecell-likeabsolute co-extensor\(G\)-acyclicEilenberg-MacLane CW-complex

Mathematics Subject Classification ID

Extension of maps (54C20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Cites Work

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• Cohomological dimension and acyclic resolutions
• Cell-like resolutions in the strongly countable \(\mathbb Z\)-dimensional case
• Rational acyclic resolutions
• Generalized cohomological dimension of compact metric spaces
• Simultaneous Z/p-acyclic resolutions of expanding sequences
• Cell-Like Mappings and Nonmetrizable Compacta of Finite Cohomological Dimension
• HOMOLOGICAL DIMENSION THEORY

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