ON THE CAPACITY OF EILENBERG-MACLANE AND MOORE SPACES

DOI10.22044/jas.2018.6312.1313zbMath1468.55009arXiv1607.07054OpenAlexW2963763839MaRDI QIDQ4956423

Behrooz Mashayekhy, Mojtaba Mohareri, Hanieh Mirebrahimi

Publication date: 1 September 2021

Full work available at URL: https://arxiv.org/abs/1607.07054

zbMATH Keywords

homotopy typeEilenberg-MacLane spaceMoore spaceCW-complexhomotopy 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)

Related Items (2)

The capacity of wedge sum of spheres of different dimensions ⋮ The Capacity of Some Classes of Polyhedra

Cites Work

• Polyhedra dominating finitely many different homotopy types
• Summands of finite rank torsion free abelian groups
• Counting homotopy types of manifolds
• A remark on homotopy and category domination
• SOME PROBLEMS IN THE THEORY OF SHAPE OF COMPACTA
• Homotopy dominations within polyhedra
• Polyhedra with finite fundamental group dominate finitely many different homotopy types
• Concerning the set of retractions
• Simply-connected polyhedra dominate only finitely many different shapes
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