Pushouts of Categories, Derived Limits, and Colimits

VOKŘÍNEK, Lukáš. Pushouts of Categories, Derived Limits, and Colimits. Online. Communications in Algebra. 2016, vol. 44, No 5, p. 2110-2117. ISSN 0092-7872. Available from: https://dx.doi.org/10.1080/00927872.2015.1033718. [citováno 2024-04-24]

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

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: United States of America
• Confidentiality degree: is not subject to a state or trade secret
• Impact factor: Impact factor: 0.429
• RIV identification code: RIV/00216224:14310/16:00088804
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.1080/00927872.2015.1033718
• UT WoS: 000375472800020
• Keywords in English: Derived limit; Derived colimit; Mayer-Vietoris sequence; Pushout of categories
• Tags: AKR, rivok
• Tags: International impact, Reviewed

Abstract

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