Spaces of homotopy self-equivalences. A survey
From MaRDI portal
Publication:1367964
DOI10.1007/BFb0093736zbMath0889.55004OpenAlexW2498558482MaRDI QIDQ1367964
Publication date: 7 October 1997
Published in: Lecture Notes in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bfb0093736
Whitehead torsionbased homotopy equivalences of manifoldsfree homotopy equivalences of manifoldsPostnikov methods
Homotopy equivalences in algebraic topology (55P10) Localization and completion in homotopy theory (55P60)
Related Items (26)
Length of a chain composed by certain monoids of self maps ⋮ On the same \(N\)-type of the suspension of the infinite quaternionic projective space ⋮ Automorphism groups of polycyclic-by-finite groups and arithmetic groups. ⋮ Self-homotopy equivalences and cofibrations ⋮ Stable self-homotopy equivalences ⋮ Certain maps preserving self-homotopy equivalences ⋮ On the group of self-homotopy equivalences of \((n+1)\)-connected and \((3n+2)\)-dimensional CW-complex ⋮ Redundant relators in cyclic presentations of groups ⋮ Monoids related to self homotopy equivalences of fibred product ⋮ Birman-Hilden bundles. II ⋮ Topological realizations of groups in Alexandroff spaces ⋮ The ring of stable homotopy classes of self-maps of \(A_n^2\)-polyhedra ⋮ Unnamed Item ⋮ The effect of cell-attachment on the group of self-equivalences of an \(R\)-localized space ⋮ The group of self-homotopy equivalences of the \(m\)-fold smash product of a space ⋮ Spherical space forms--Homotopy types and self-equivalences for the groups \(\mathbb Z/a \rtimes \mathbb Z/b\) and \(\mathbb Z/a \rtimes(\mathbb Z/b \times \mathbb Q_{2^i})\) ⋮ Polyhedra dominating finitely many different homotopy types ⋮ Certain subgroups of groups of self-pair homotopy equivalences ⋮ Spherical space forms -- homotopy self-equivalences and homotopy types, the case of the groups \(\mathbb Z/a\rtimes (\mathbb Z/b \times TL_2(\mathbb F_p))\) ⋮ The group of self-homotopy equivalences of \(A_n^2\)-polyhedra ⋮ Realisability problem in arrow categories ⋮ Finiteness theorems for nonnegatively curved vector bundles ⋮ Homotopy dominations by polyhedra with polycyclic-by-finite fundamental groups ⋮ On the group \(aut_\sharp(X_{1} \times \ldots \times X_{n})\) ⋮ On automorphisms of graded quasi-lie algebras ⋮ Nilpotency of groups of fibre homotopy equivalences in the rational category
This page was built for publication: Spaces of homotopy self-equivalences. A survey