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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

torsion theoryreflective factorization systemprefibration

The result's identifiers

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

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)

Jx

CEP

BA - General mathematics

Year of implementation

2007