LS-category of classifying spaces

J. B. Gatsinzi

doi:10.36045/bbms/1103408749

LS-category of classifying spaces

J. B. Gatsinzi

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

Let X be a 1-connected topological space of finite type. Denote by B aut X the base of the universal fibration of fibre X: We show in this paper that the Lusternik-Schnirelmann category of B autX is not finite when X is a wedge of spheres or a finite CW-complex with finite dimensional rational homotopy.

Original language	English
Pages (from-to)	121-126
Number of pages	6
Journal	Bulletin of the Belgian Mathematical Society - Simon Stevin
Volume	2
Issue number	2
DOIs	https://doi.org/10.36045/bbms/1103408749
Publication status	Published - 1995

All Science Journal Classification (ASJC) codes

General Mathematics

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10.36045/bbms/1103408749

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title = "LS-category of classifying spaces",

abstract = "Let X be a 1-connected topological space of finite type. Denote by B aut X the base of the universal fibration of fibre X: We show in this paper that the Lusternik-Schnirelmann category of B autX is not finite when X is a wedge of spheres or a finite CW-complex with finite dimensional rational homotopy.",

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year = "1995",

doi = "10.36045/bbms/1103408749",

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journal = "Bulletin of the Belgian Mathematical Society - Simon Stevin",

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AU - Gatsinzi, J. B.

PY - 1995

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N2 - Let X be a 1-connected topological space of finite type. Denote by B aut X the base of the universal fibration of fibre X: We show in this paper that the Lusternik-Schnirelmann category of B autX is not finite when X is a wedge of spheres or a finite CW-complex with finite dimensional rational homotopy.

AB - Let X be a 1-connected topological space of finite type. Denote by B aut X the base of the universal fibration of fibre X: We show in this paper that the Lusternik-Schnirelmann category of B autX is not finite when X is a wedge of spheres or a finite CW-complex with finite dimensional rational homotopy.

UR - https://www.scopus.com/pages/publications/84972491039

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U2 - 10.36045/bbms/1103408749

DO - 10.36045/bbms/1103408749

M3 - Article

AN - SCOPUS:84972491039

SN - 1370-1444

VL - 2

SP - 121

EP - 126

JO - Bulletin of the Belgian Mathematical Society - Simon Stevin

JF - Bulletin of the Belgian Mathematical Society - Simon Stevin

IS - 2

ER -

LS-category of classifying spaces

Abstract

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