scientific article; zbMATH DE number 7604707
From MaRDI portal
Publication:5043152
zbMath1500.55006MaRDI QIDQ5043152
Antonio Viruel, Cristina Costoya
Publication date: 21 October 2022
Full work available at URL: https://gradmath.org/2020/10/05/a-primer-on-the-group-of-self-homotopy-equivalences-a-rational-homotopy-theory-approach/
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Homotopy equivalences in algebraic topology (55P10) Localization and completion in homotopy theory (55P60) Eilenberg-Mac Lane spaces (55P20) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)
Related Items
On some topological realizations of groups and homomorphisms ⋮ Families of relatively exact Lagrangians, free loop spaces and generalised homology ⋮ Topological realizations of groups in Alexandroff spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Every finite group is the group of self-homotopy equivalences of an elliptic space
- Nilpotency of self homotopy equivalences with coefficients
- Every group is an outer automorphism group of a finitely generated group.
- Unipotency and nilpotency in homotopy equivalences
- Arithmetic subgroups of algebraic groups
- The group of self-homotopy equivalences of \(A_n^2\)-polyhedra
- Realisability problem in arrow categories
- Localization and completion of nilpotent groups of automorphisms
- Localization of a certain subgroup of self-homotopy equivalences
- Images and pre-images of localization maps
- Realization problems for the group of homotopy classes of self- equivalences
- Applications of minimal simplicial groups
- Infinitesimal computations in topology
- Spaces of homotopy self-equivalences. A survey
- On the realizability of group actions
- Self-homotopy equivalences of \(H_*(-;Z/p)\)-local spaces
- Self homotopy equivalences of virtually nilpotent spaces
- On higher analogs of topological complexity
- Realization of 2-solvable nilpotent groups as groups of classes of homotopy self-equivalences
- Covering transformations and universals fibrations
- Groupes d'homotopie et classes de groupes abéliens
- ALL GROUPS ARE OUTER AUTOMORPHISM GROUPS OF SIMPLE GROUPS
- Lusternik-Schnirelmann Category and Cocategory
- Finite 2-Complexes with Infinitely-Generated Groups of Self-Homotopy- Equivalences
- FINITE COMPLEXES WHOSE SELF-HOMOTOPY EQUIVALENCES FORM CYCLIC GROUPS
- Spaces of Maps into Eilenberg-Maclane Spaces
- Some small aspherical spaces
- Classifying spaces and fibrations
- Classification of Spaces of the Same n-Type for All n
- On a Class of One-Relator Groups
- Finite Complexes Whose Self-Homotopy Equivalence Groups Realize the Infinite Cyclic Group
- A Note on the Nilpotency of Subgroups of Self-Homotopy Equivalences
- A bound for the nilpotency of a group of self homotopy equivalences
- Homotopically rigid Sullivan algebras and their applications
- Some Function Spaces of CW Type
- Topological complexity of 𝐻-spaces
- Graphs of Degree Three with a Given Abstract Group
- Rational obstruction theory and rational homotopy sets