The Capacity of Some Classes of Polyhedra

zbMath1488.55003arXiv1708.04509MaRDI QIDQ5159527

Mojtaba Mohareri, Hanieh Mirebrahimi, Behrooz Mashayekhy

Publication date: 28 October 2021

Full work available at URL: https://arxiv.org/abs/1708.04509

zbMATH Keywords

homotopy typepolyhedronMoore spaceCW-complexcompactumhomotopy domination

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Moore spaces (54E30) Eilenberg-Mac Lane spaces (55P20) Shape theory (55P55) Homotopy groups of wedges, joins, and simple spaces (55Q20)

Cites Work

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• The capacity of wedge sum of spheres of different dimensions
• On the capacity and depth of compact surfaces
• Combinatorial homotopy and 4-dimensional complexes
• Complexes dominated by a 2-complex
• Polyhedra dominating finitely many different homotopy types
• Counting homotopy types of manifolds
• Finiteness conditions for CW-complexes. I, II.
• Trees of homotopy types of two-dimensional CW-complexes
• Remark on spaces dominated by manifolds
• SOME PROBLEMS IN THE THEORY OF SHAPE OF COMPACTA
• AR associated with ANR-sequence and shape
• Polyhedra with finite fundamental group dominate finitely many different homotopy types
• ON THE CAPACITY OF EILENBERG-MACLANE AND MOORE SPACES
• Groups of cohomological dimension one

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