20 мар. 2021 г. · The stable homotopy category Ho ( Spectra ) Ho(Spectra) is the category of spectra and homotopy classes of morphisms between them, the object of ... Idea · Definition · Via left homotopy · Properties

In mathematics, stable homotopy theory is the part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain ...

We assume familiarity with homology, cohomology, and homotopy groups, along with categories, functors, and natural transformations. To start, spectra should ...

11 янв. 2016 г. · Given an object in a symmetric monoidal ∞-category, there exists a universal functor which is initial among symmetric monoidal functors which ... Self-equivalences of the stable homotopy category Is there an additive model of the stable homotopy category? Другие результаты с сайта mathoverflow.net

3 окт. 2022 г. · Idea. Stable homotopy theory is homotopy theory in the case that the operations of looping and delooping are equivalences.

We prove a uniqueness theorem which says that there is essentially only one model category structure underlying the stable homotopy category of 2-local spectra— ...

The purpose of this paper is to prove that the stable homotopy category of algebraic topology is 'rigid' in the sense that it admits essentially only one model:.

4 июл. 2024 г. · The task before us is to investigate stable homotopy theory — and stable homotopy theories more generally — through the lens of ∞-category ...

The stable homotopy category, which we denote by ¯hS , is obtained by formally inverting the weak equivalences. This is made rigorous by introducing CW spectra.

The stable homotopy category, or homotopy category of (CW) spectra is defined to be the category whose objects are spectra and whose morphisms are homotopy ... Examples · The triangulated homotopy... · History