وثيقة

Cohomology of topologised monoids

مؤلف
عنوان الدورية
Mathematische Zeitschrift
العدد
Volume 301, pages 2793–2840, (2022)
دولة النشر
Germany
مكان النشر
SpringerLink, Berlin, Germany
الناشر
Springer-Verlag GmbH
تاريخ النشر
2022
اللغة
الأنجليزية
الملخص الإنجليزي
Abstract: We prove standard results of group cohomology – namely, existence of a long exact sequence, classification of torsors via the first cohomology group, Shapiro’s lemma, the Hochschild- Serre spectral sequence, a decomposition of the cochain complex in the direct product case, and Jannsen’s result on the recovery problem – for cohomology theories such as continuous, analytic, bounded, and pro-analytic cohomology. We also prove these results for certain monoids, as the applications we have in mind concern (ϕ, )-modules. The cohomology groups considered here all have very concrete interpretations by means of a cochain complex. Therefore, we do not use methods of homological algebra, but explicit calculations on the level of cochains, using techniques dating back to Hochschild and Serre
المجموعة
مواد أخرى لنفس المؤلف
مقال دورية
2
Thomas, Oliver
University of Bahrain
2022