There exists a polyhedron with infinitely many left neighbors

DOI10.1090/S0002-9939-00-05812-3zbMath0958.55012MaRDI QIDQ4510076

Danuta Kołodziejczyk

Publication date: 19 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

homotopy typehomotopy dominationFANRleft neighborshape domination

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Shape theory (55P55)

Related Items (4)

2-dimensional polyhedra with finite depth ⋮ 2-dimensional polyhedra with infinitely many left neighbors ⋮ Simply-connected polyhedra dominate only finitely many different shapes ⋮ Homotopy dominations by polyhedra with polycyclic-by-finite fundamental groups

Cites Work

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• Shape theory. An introduction
• Algebraic K-theory of generalized free products. II
• Finiteness conditions for CW-complexes. I, II.
• On Free Products
• Homotopy Idempotents on Finite-Dimensional Complexes Split
• Non-Free Projective Modules for Torsion-Free Groups
• Idempotents in Group Rings
• On the 3-Type of a Complex
• Simple Homotopy Types
• Homotopy classification of \((\pi,m)\)-complexes

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