Relative plus constructions
From MaRDI portal
Publication:6173826
DOI10.1016/j.exmath.2023.03.001zbMath1526.55010arXiv2302.06892MaRDI QIDQ6173826
Guille Carrión Santiago, Jérôme Scherer
Publication date: 13 July 2023
Published in: Expositiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.06892
acyclic spaceQuillen plus constructionhomology equivalencenullification functorrelative plus construction
Localization and completion in homotopy theory (55P60) Derived series, central series, and generalizations for groups (20F14) (Q)- and plus-constructions (19D06) Homology with local coefficients, equivariant cohomology (55N25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Algebraic topology
- The localization of spaces with respect to homology
- Genetics of homotopy theory and the Adams conjecture
- A universal space for plus-constructions
- Generalized plus-constructions and fundamental groups
- Desuspending and delooping cellular inequalities
- Fundamental group of homotopy colimits.
- Algebraic \(K\)-theory of rings from a topological viewpoint
- Relative group completions
- Types of acyclicity
- Cellular spaces, null spaces and homotopy localization
- Loop space homology of a small category
- A generalization of the homology and homotopy suspension
- Acyclic spaces
- Homotopy limits, completions and localizations
- An algebraic model for chains on $\Omega BG{}^{^\wedge }_p$
- Localization and Periodicity in Unstable Homotopy Theory
- Homotopical localizations of spaces
- Central extensions and generalized plus-constructions
- A Handbook of Model Categories
This page was built for publication: Relative plus constructions