Reasonable triangulated categories have filtered enhancements
G Modoi - Proceedings of the American Mathematical Society, 2019 - ams.org
Reasonable triangulated categories have filtered enhancements Page 1 PROCEEDINGS OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 147, Number 7, July 2019, Pages …
THE AMERICAN MATHEMATICAL SOCIETY Volume 147, Number 7, July 2019, Pages …
Universal property of triangulated derivators via Keller's towers
M Porta - arXiv preprint arXiv:1512.02691, 2015 - arxiv.org
In his thesis B. Keller solved the universal problem of the extension of an exact category to
its (bounded) derived category by introducing the notions of tower of exact and triangulated …
its (bounded) derived category by introducing the notions of tower of exact and triangulated …
Derivators, pointed derivators and stable derivators
M Groth - Algebraic & Geometric Topology, 2013 - msp.org
We develop some aspects of the theory of derivators, pointed derivators and stable
derivators. Stable derivators are shown to canonically take values in triangulated categories …
derivators. Stable derivators are shown to canonically take values in triangulated categories …
Revisiting the canonicity of canonical triangulations
M Groth - arXiv preprint arXiv:1602.04846, 2016 - arxiv.org
Stable derivators provide an enhancement of triangulated categories as is indicated by the
existence of canonical triangulations. In this paper we show that exact morphisms of stable …
existence of canonical triangulations. In this paper we show that exact morphisms of stable …
The passage among the subcategories of weakly approximable triangulated categories
A Canonaco, C Haesemeyer, A Neeman… - arXiv preprint arXiv …, 2024 - arxiv.org
In this article we prove that all the inclusions between the'classical'and naturally defined full
triangulated subcategories of a weakly approximable triangulated category are intrinsic (in …
triangulated subcategories of a weakly approximable triangulated category are intrinsic (in …
[引用][C] On A∞-enhancements for triangulated categories
H Kajiura - Journal of Pure and Applied Algebra, 2013 - Elsevier
On A∞-enhancements for triangulated categories Page 1 Journal of Pure and
Applied Algebra 217 (2013) 1476–1503 Contents lists available at SciVerse ScienceDirect …
Applied Algebra 217 (2013) 1476–1503 Contents lists available at SciVerse ScienceDirect …
Enhanced finite triangulated categories
F Muro - Journal of the Institute of Mathematics of Jussieu, 2022 - cambridge.org
ENHANCED FINITE TRIANGULATED CATEGORIES Page 1 J. Inst. Math. Jussieu (2022),
doi:10.1017/S1474748020000250 c The Author(s) 2020. Published by Cambridge University …
doi:10.1017/S1474748020000250 c The Author(s) 2020. Published by Cambridge University …
Descent in triangulated categories
P Balmer - Mathematische Annalen, 2012 - Springer
Mathematische Annalen Page 1 Math. Ann. (2012) 353:109–125 DOI 10.1007/s00208-011-0674-z
Mathematische Annalen Descent in triangulated categories Paul Balmer Received: 8 June …
Mathematische Annalen Descent in triangulated categories Paul Balmer Received: 8 June …
A resolution theorem for extriangulated categories with applications to the index
Y Ogawa, A Shah - arXiv preprint arXiv:2311.10576, 2023 - arxiv.org
Quillen's Resolution Theorem in algebraic $ K $-theory provides a powerful computational
tool for calculating $ K $-groups of exact categories. At the level of $ K_0 $, this result goes …
tool for calculating $ K $-groups of exact categories. At the level of $ K_0 $, this result goes …
[PDF][PDF] Completions of triangulated categories
H Krause - arXiv preprint arXiv:2309.01260, 2023 - arxiv.org
arXiv:2309.01260v1 [math.CT] 3 Sep 2023 Page 1 arXiv:2309.01260v1 [math.CT] 3 Sep
2023 COMPLETIONS OF TRIANGULATED CATEGORIES HENNING KRAUSE Abstract …
2023 COMPLETIONS OF TRIANGULATED CATEGORIES HENNING KRAUSE Abstract …