Analytification, localization and homotopy epimorphisms
O Ben-Bassat, D Mukherjee - Bulletin des Sciences Mathématiques, 2022 - Elsevier
We study the interaction between various analytification functors, and a class of morphisms
of rings, called homotopy epimorphisms. An analytification functor assigns to a simplicial …
of rings, called homotopy epimorphisms. An analytification functor assigns to a simplicial …
Fr\'echet Modules and Descent
O Ben-Bassat, K Kremnizer - arXiv preprint arXiv:2002.11608, 2020 - arxiv.org
We study several aspects of the study of Ind-Banach modules over Banach rings thereby
synthesizing some aspects of homological algebra and functional analysis. This includes a …
synthesizing some aspects of homological algebra and functional analysis. This includes a …
The Arens-Michael envelope of a solvable Lie algebra is a homological epimorphism
O Aristov - arXiv preprint arXiv:2404.19433, 2024 - arxiv.org
The Arens-Michael envelope of the universal enveloping algebra of a finite-dimensional
complex Lie algebra is a homological epimorphism if and only if the Lie algebra is solvable …
complex Lie algebra is a homological epimorphism if and only if the Lie algebra is solvable …
[PDF][PDF] Homological algebra for nonarchimedean completions of group algebras
D Mukherjee - arXiv preprint arXiv:2311.10843, 2023 - researchgate.net
Let V be a complete discrete valuation ring, and let G be either a word-hyperbolic group or a
reductive p-adic group. We prove that the canonical morphism V [G]→ V [G]† from the group …
reductive p-adic group. We prove that the canonical morphism V [G]→ V [G]† from the group …
A note on relative homological epimorphisms of topological algebras
AY Pirkovskii - arXiv preprint arXiv:2104.13716, 2021 - arxiv.org
arXiv:2104.13716v2 [math.FA] 2 Jan 2022 Page 1 arXiv:2104.13716v2 [math.FA] 2 Jan 2022 A
NOTE ON RELATIVE HOMOLOGICAL EPIMORPHISMS OF TOPOLOGICAL ALGEBRAS A …
NOTE ON RELATIVE HOMOLOGICAL EPIMORPHISMS OF TOPOLOGICAL ALGEBRAS A …
Homotopy epimorphisms and derived tate's acyclicity for commutative C*-algebras
F Bambozzi, T Mihara - The Quarterly Journal of Mathematics, 2023 - academic.oup.com
We study homotopy epimorphisms and covers formulated in terms of derived Tate's
acyclicity for commutative-algebras and algebras of continuous functions valued in non …
acyclicity for commutative-algebras and algebras of continuous functions valued in non …
[引用][C] Corrigendum to “Open embeddings and pseudoflat epimorphisms”[J. Math. Anal. Appl. 485 (2020) 123817]
OY Aristov, AY Pirkovskii - Journal of Mathematical Analysis and …, 2021 - Elsevier