AbstractFor a set F of small categories, F-conservative cocompletions of a category are cocompletions preserving all existing colimits of type F. We prove that every category has a free F-conservative cocompletion. However, unless F is trivial, this cocompletion fails in general to be locally small
We consider category theory enriched in a locally finitely presentable symmetric monoidal closed cat...
The aim of this thesis is to further develop the theory of accessible categories in the enriched con...
AbstractIn this work it is shown that if the underlying category V0 of a symmetric closed monoidal c...
AbstractFor a set F of small categories, F-conservative cocompletions of a category are cocompletion...
AbstractIn 1978, Street and Walters defined a locally small category K to be totally cocomplete if i...
ABSTRACT. Locally finitely presentable categories have been generalized in [1], un-der the name of l...
Given a class F of weights, one can consider the construction that takes a small category C to the ...
AbstractThe simple connection of completeness and cocompleteness of lattices grows in categories int...
summary:Among cocomplete categories, the locally presentable ones can be defined as those with a str...
Empirical thesis.Bibliography: pages 95-96.1. Introduction -- 2. Cocompletion of restriction categor...
AbstractGiven a class F of weights, one can consider the construction that takes a small category C ...
AbstractFor a small category K enriched over a suitable monoidal category V, the free completion of ...
International audienceThe clusters considered in this paper are seen as morphisms between small arbi...
AbstractWe consider V-categories where V is a symmetric monoidal closed category, and we write φ * T...
Theoretical thesis.Bibliography: page [51]1. Introduction -- 2. Restriction categories -- 3. Restric...
We consider category theory enriched in a locally finitely presentable symmetric monoidal closed cat...
The aim of this thesis is to further develop the theory of accessible categories in the enriched con...
AbstractIn this work it is shown that if the underlying category V0 of a symmetric closed monoidal c...
AbstractFor a set F of small categories, F-conservative cocompletions of a category are cocompletion...
AbstractIn 1978, Street and Walters defined a locally small category K to be totally cocomplete if i...
ABSTRACT. Locally finitely presentable categories have been generalized in [1], un-der the name of l...
Given a class F of weights, one can consider the construction that takes a small category C to the ...
AbstractThe simple connection of completeness and cocompleteness of lattices grows in categories int...
summary:Among cocomplete categories, the locally presentable ones can be defined as those with a str...
Empirical thesis.Bibliography: pages 95-96.1. Introduction -- 2. Cocompletion of restriction categor...
AbstractGiven a class F of weights, one can consider the construction that takes a small category C ...
AbstractFor a small category K enriched over a suitable monoidal category V, the free completion of ...
International audienceThe clusters considered in this paper are seen as morphisms between small arbi...
AbstractWe consider V-categories where V is a symmetric monoidal closed category, and we write φ * T...
Theoretical thesis.Bibliography: page [51]1. Introduction -- 2. Restriction categories -- 3. Restric...
We consider category theory enriched in a locally finitely presentable symmetric monoidal closed cat...
The aim of this thesis is to further develop the theory of accessible categories in the enriched con...
AbstractIn this work it is shown that if the underlying category V0 of a symmetric closed monoidal c...
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