scholarly journals Relatively divisible and relatively flat objects in exact categories: applications

2021 ◽  
Author(s):  
Septimiu Crivei ◽  
Derya Keskin Tütüncü
Keyword(s):  
Exact Categories

scholarly journals Realization of cohomology classes in arbitrary exact categories

1982 ◽  
Vol 25 (1) ◽  
pp. 33-105 ◽  
Author(s):  
Paul G. Glenn
Keyword(s):  
Exact Categories

Exact Categories and Quillen’s Q-Construction

1991 ◽  
pp. 43-50
Author(s):  
V. Srinivas
Keyword(s):  
Exact Categories

On $n$-exact categories

2019 ◽  
Vol 69 (4) ◽  
pp. 1089-1099
Author(s):  
Said Manjra
Keyword(s):  
Exact Categories

Exact Categories and Quillen’s Q-Construction

1996 ◽  
pp. 38-45
Author(s):  
V. Srinivas
Keyword(s):  
Exact Categories

HIGHER -THEORY OF FORMS I. FROM RINGS TO EXACT CATEGORIES

2019 ◽  
pp. 1-69 ◽  
Author(s):  
Marco Schlichting
Keyword(s):  
Form Parameter ◽  
Hermitian Forms ◽  
Group Completion ◽  
Theory Of Forms ◽  
Exact Sequences ◽  
Exact Categories

We prove the analog for the $K$ -theory of forms of the $Q=+$ theorem in algebraic $K$ -theory. That is, we show that the $K$ -theory of forms defined in terms of an $S_{\bullet }$ -construction is a group completion of the category of quadratic spaces for form categories in which all admissible exact sequences split. This applies for instance to quadratic and hermitian forms defined with respect to a form parameter.

scholarly journals Relations for exact categories

1969 ◽  
Vol 13 (4) ◽  
pp. 465-480 ◽  
Author(s):  
Hans-Berndt Brinkmann
Keyword(s):  
Exact Categories

Simply Connected Limits

1990 ◽  
Vol 42 (4) ◽  
pp. 731-746 ◽  
Author(s):  
Robert Paré
Keyword(s):  
Left Adjoint ◽  
Topos Theory ◽  
Essential Ingredient ◽  
Original Definition ◽  
The Subject ◽  
Definition Of ◽  
Simply Connected ◽  
Geometric Morphisms ◽  
Exact Categories

The importance of finite limits in completeness conditions has been long recognized. One has only to consider elementary toposes, pretoposes, exact categories, etc., to realize their ubiquity. However, often pullbacks suffice and in a sense are more natural. For example it is pullbacks that are the essential ingredient in composition of spans, partial morphisms and relations. In fact the original definition of elementary topos was based on the notion of partial morphism classifier which involved only pullbacks (see [6]). Many constructions in topos theory, involving left exact functors, such as coalgebras on a cotriple and the gluing construction, also work for pullback preserving functors. And pullback preserving functors occur naturally in the subject, e.g. constant functors and the Σα. These observations led Rosebrugh and Wood to introduce partial geometric morphisms; functors with a pullback preserving left adjoint [9]. Other reasons led Kennison independently to introduce the same concept under the name semi-geometric functors [5].

scholarly journals Cohomology of exact categories and (non-)additive sheaves

2015 ◽  
Vol 272 ◽  
pp. 652-698 ◽  
Author(s):  
Dmitry Kaledin ◽  
Wendy Lowen
Keyword(s):  
Exact Categories

scholarly journals Topological Hochschild homology of ring functors and exact categories

1996 ◽  
Vol 109 (3) ◽  
pp. 231-294 ◽  
Author(s):  
Bjørn Ian Dundas ◽  
Randy McCarthy
Keyword(s):  
Hochschild Homology ◽  
Topological Hochschild Homology ◽  
Exact Categories
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