Results 21 to 27 of about 69 (27)

The realizability of operations on homotopy groups concentrated in two degrees

open access: yes, 2014
The homotopy groups of a space are endowed with homotopy operations which define the \Pi-algebra of the space. An Eilenberg-MacLane space is the realization of a \Pi-algebra concentrated in one degree.
CR Stover   +16 more
core   +1 more source

A Quillen Theorem B for strict $\infty$-categories

open access: yes, 2019
We prove a generalization of Quillen's Theorem B to strict $\infty$-categories. More generally, we show that under similar hypothesis as for Theorem B, the comma construction for strict $\infty$-categories, that we introduced with Maltsiniotis in a ...
Ara, Dimitri
core   +3 more sources

Homotopy idempotent functors on classifying spaces [PDF]

open access: yes, 2015
Fix a prime p. Since their definition in the context of Localization Theory, the homotopy functors PBZ/p and CWBZ/p have shown to be powerful tools to understand and describe the mod p structure of a space.
Castellana Vila, Natàlia   +1 more
core  

Eilenberg–MacLane mapping algebras and higher distributivity up to homotopy

open access: yes, 2017
Primary cohomology operations, i.e., elements of the Steenrod algebra, are given by homotopy classes of maps between Eilenberg--MacLane spectra. Such maps (before taking homotopy classes) form the topological version of the Steenrod algebra.
Baues, H., Frankland, M.
core   +1 more source

Sequential parametrized topological complexity of group epimorphisms

open access: yes
In this paper, we introduce the sequential parametrized topological complexity of group epimorphisms, which generalizes the sequential topological complexity of groups.
Daundkar, Navnath
core  

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