Homotopy equivalences and free modules
β Scribed by Steven Plotnick
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 484 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0040-9383
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Given two rings R and S, we study the category equivalences T T Β‘ Y Y, where T T is a torsion class of R-modules and Y Y is a torsion-free class of S-modules. These Ε½ . equivalences correspond to quasi-tilting triples R, V, S , where V is a bimodule R S which has, ''locally,'' a tilting behavior. Co
The aim of this work is to establish the natural equivalence between intersecting subcategories relating to static modules constructed over different rings. '1493 Acidemic Press. Inc
## Abstract By studying the group of self homotopy equivalences of the localization (at a prime __p__ and/or zero) of some aspherical complexes, we show that, contrary to the case when the considered space is a nilpotent, β°^__m__^ ~#~(__X__~__p__~ ) is in general different from β°^__m__^ ~#~(__X__)_