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The accessibility rank of weak equivalences
We study the accessibility properties of trivial cofibrations and weak equivalences in a combinatorial model category and prove an estimate for the accessibility rank of weak equivalences. In particular, we show that the cl...
BA - Obecná matematika
- 2015 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
STACKS AND SHEAVES OF CATEGORIES AS FIBRANT OBJECTS, I
We show that the category of categories fibred over a site is a generalized Quillen model category in which the weak equivalences are the local equivalences category that is Quillen equivalent...
BA - Obecná matematika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
QUILLEN EQUIVALENT MODELS FOR THE DERIVED CATEGORY OF FLATS AND THE RESOLUTION PROPERTY
, the derived category of flat quasicoherent sheaves is equivalent to the derived category the resolution property then both derived categories are equivalent to the derived category of infinite-d...
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Singular equivalences to locally coherent hearts of commutative noetherian rings
category whose derived category is compactly generated. As a source of such categories in the derived category of a commutative noetherian ring. We show that the induced tilting object over such a heart gives rise...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On combinatorial model categories
Combinatorial model categories were introduced by J. H. Smith as model categories which are locally presentable and cofibrantly generated. He has not published homotopy equivalences, weak equivalences and cofibrati...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Are all cofibrantly generated model categories combinatorial?
G. Raptis has recently proved that, assuming Vopěnka's principle, every cofibrantly generated model category is Quillen equivalent to a combinatorial one. We show that Vopěnka's principle is equivalent to this claim....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Equipping weak equivalences with algebraic structure
We investigate the extent to which the weak equivalences in a model category the extent to which the weak equivalences in a combinatorial model category can structure if and only it is a weak homotopy equivalen...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Universal abstract elementary classes and locally multipresentable categories,
We exhibit an equivalence between the model-theoretic framework of universal classes and the category-theoretic framework of locally multipresentable categories. We similarly give an equivalence between abstract el...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On the equivalence of all models for (∞,2)-categories
equivalent descriptions of it, and show that the homotopy 2-category of an (FormulaThe goal of this paper is to provide the last equivalence needed in order to identify all known models for (Formula presented.) -catego...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Derived equivalences induced by big cotilting modules
We prove that given a Grothendieck category G with a tilting object of finite projective dimension, the induced triangle equivalence sends an injective cogenerator equivalence is at the base of an equivalence of de...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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