Abstract Sectional Category

We study, in an abstract axiomatic setting, the notion of sectional category of a morphism. From this, we unify and generalize known results about this invariant in different settings as well as we deduce new applications. Key words and phrases: Sectional category, model category, J-category, Luster...

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Bibliographic Details
Published in:Bulletin of the Belgian Mathematical Society, Simon Stevin Simon Stevin, 2012-08, Vol.19 (3), p.485-506
Main Authors: Diaz, F.J, Calcines, J.M. Garcia, Diaz, P.R. Garcia, Mas, A. Murillo, Gomez, J. Remedios
Format: Article
Language:English
Subjects:
55M30
55U35
Algebra, Abstract
Invariants
J-category
Lusternik-Schnirelmann category
model category
Sectional category
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Summary:We study, in an abstract axiomatic setting, the notion of sectional category of a morphism. From this, we unify and generalize known results about this invariant in different settings as well as we deduce new applications. Key words and phrases: Sectional category, model category, J-category, Lusternik-Schnirelmann category.
ISSN:1370-1444
2034-1970
DOI:10.36045/bbms/1347642378