J 2016

Pushouts of Categories, Derived Limits, and Colimits

VOKŘÍNEK, Lukáš

Basic information

Original name

Pushouts of Categories, Derived Limits, and Colimits

Authors

VOKŘÍNEK, Lukáš (203 Czech Republic, guarantor, belonging to the institution)

Edition

Communications in Algebra, 2016, 0092-7872

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

Impact factor

Impact factor: 0.429

RIV identification code

RIV/00216224:14310/16:00088804

Organization unit

Faculty of Science

UT WoS

000375472800020

Keywords in English

Derived limit; Derived colimit; Mayer-Vietoris sequence; Pushout of categories

Tags

Tags

International impact, Reviewed
Změněno: 29/3/2017 22:26, doc. Lukáš Vokřínek, PhD.

Abstract

V originále

We provide a counterexample to a theorem of Ford, namely a pushout square of categories with all involved functors injective, such that there is no associated exact "Mayer-Vietoris" sequence of derived limits. Further, we construct a Mayer-Vietoris sequence for derived (co) limits under some additional hypotheses, extending the well-known case of a pushout square of group monomorphisms.

Links

GAP201/11/0528, research and development project
Name: Modelové kategorie
Investor: Czech Science Foundation