Factorization, fibration and torsion
Result description
A simple definition of torsion theory is presented, as a factorization system with both classes satisfying the 3-for-2 property. Comparisons with the traditional notion are given, as well as connections with the notions of fibration and of weak factorization system, as used in abstract homotopy theory.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
Factorization, fibration and torsion
Original language description
A simple definition of torsion theory is presented, as a factorization system with both classes satisfying the 3-for-2 property. Comparisons with the traditional notion are given, as well as connections with the notions of fibration and of weak factorization system, as used in abstract homotopy theory.
Czech name
Faktorizace, fibrace a torze
Czech description
Je podána jednoduchá definice torzní teorie jako faktorizačního systému, v němž obě třídy splňují 3-pro-2 vlastnost. Definice je porovnána s tradiční definicí, jsou uvedeny souvislosti s pojmy fibrace a slabého faktorizačního systému používaném v abstraktní teorii homotopií.
Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—
Result continuities
Project
GA201/06/0664: Categorical methods of the theory of structures
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Homotopy and Related Structures
ISSN
1512-2891
e-ISSN
—
Volume of the periodical
2
Issue of the periodical within the volume
2
Country of publishing house
GE - GEORGIA
Number of pages
20
Pages from-to
295-314
UT code for WoS article
—
EID of the result in the Scopus database
—
Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2007