2-polyhedra for which every homotopy domination over itself is a homotopy equivalence

DOI10.1016/j.topol.2016.04.007zbMath1339.55008arXiv1411.1032OpenAlexW2962852321WikidataQ121089359 ScholiaQ121089359MaRDI QIDQ284605

Danuta Kołodziejczyk

Publication date: 18 May 2016

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

Full work available at URL: https://arxiv.org/abs/1411.1032

zbMATH Keywords

shapehomotopy typepolyhedronCW-complexANRelementary amenable grouphomotopy dominationHopfianquasi-homeomorphism\textit{CW}-complexweakly Hopfian

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Shape theory (55P55)

Related Items (2)

2-polyhedra for which every homotopy domination over itself is a homotopy equivalence ⋮ 2-dimensional polyhedra with finite depth

Cites Work

• 2-polyhedra for which every homotopy domination over itself is a homotopy equivalence
• 2-dimensional polyhedra with infinitely many left neighbors
• Almost all one-relator groups with at least three generators are residually finite.
• A characterization of residually finite HNN-extensions of finitely generated Abelian groups
• Automorphisms and Hopficity of certain Baumslag-Solitar groups
• Integral group rings of polycyclic-by-finite groups
• An invariant for finitely generated projectives over Z(G)
• Mapping Hilbert cube manifolds to ANR's: A solution of a conjecture of Borsuk
• Endomorphisms of hyperbolic groups. I: The Hopf property
• Automorphisms and endomorphisms of lacunary hyperbolic groups
• Makanin-Razborov diagrams for hyperbolic groups
• Dimension of elementary amenable groups
• Group-graded rings satisfying the strong rank condition
• Finiteness conditions for CW-complexes. I, II.
• Some properties of groups inherited by normal subgroups of finite index
• Centerless groups -- an algebraic formulation of Gottlieb's theorem
• Homotopy dominations by polyhedra with polycyclic-by-finite fundamental groups
• Cohomology theory of groups with a single defining relation
• Residual properties of 1-relator groups
• Residual Finiteness of Quasi-Positive One-Relator Groups
• Remark on spaces dominated by manifolds
• Some two-generator one-relator non-Hopfian groups
• Finitely Generated Non-Hopfian Groups
• ALMOST EVERY GROUP IS HYPERBOLIC
• Pointed and unpointed shape and pro-homotopy
• Sur un coefficient lié aux transformations continues d'ensembles
• Polyhedra with virtually polycyclic fundamental groups have finite depth
• LIMIT GROUPS ARE CAT(0)
• ε-Mappings Onto Polyhedra
• Braid groups are linear
• Braid groups are linear
• The residual finiteness of positive one-relator groups
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