Filters
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 modelcategory restricts to one on the full subcategory whose objec...
BA - Obecná matematika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CONSTRUCTING MODEL CATEGORIES WITH PRESCRIBED FIBRANT OBJECTS
We present a weak form of a recognition principle for Quillen model categories due to J.H. Smith. We use it to put a model category structure on the category of small categories enriched over a suitable monoidal si...
BA - Obecná matematika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Class-combinatorial model categories
We develop an extension of the framework of combinatorial model categories. The category of small presheaves over large indexing categories and ind-categories are the basic examples of non-combinatorial model c...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Model structure on the category of small topological categories
We give a short proof of the existence of a cofibrantly generated Quillen model structure on the category of small topologically enriched categories, obtained by a transfer from Bergner's model structure on simplicially enriched
FR - Farmakologie a lékárnická chemie
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Class-locally presentable and class-accessible categories
We generalize the concepts of locally presentable and accessible categories. Our framework includes such categories as small presheaves over large categories and ind-categories. This generalization is intended for ...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Definable categories
We introduce the notion of a definable category--a category equivalent to a full subcategory of a locally finitely presentable category that is closed under the finite-injectivity classes. We prove a 2-duality between the 2...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Derived, coderived, and contraderived categories of locally presentable abelian categories
For a locally presentable abelian category B with a projective generator, we construct the projective derived and contraderived model structures on the category of projective objects. We also show that the derived category ...
Pure mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A Model Category Structure on the Category of Simplicial Multicategories
We establish a Quillen model category structure on the category of symmetric simplicial multicategories. This model structure extends the model structure on simplicial categories due to J. Bergner....
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Accessible aspects of 2-category theory
Categorical structures and their pseudomaps rarely form locally presentable 2-categories in the sense of Cat-enriched category theory. However, we show, but not strict monoidal, categories) then the 2-category in q...
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
A skew approach to enrichment for Gray-categories
It is well known that the category of Gray-categories does not admit a monoidal biclosed structure that models weak higher-dimensional transformations. In this paper, the first of a series on the topic, we describe several skew mono...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
- 1 - 10 out of 13 970