A formula for the rational LS-category of certain spaces

Luis Lechuga[1]; Aniceto Murillo[1]

  • [1] Universidad de Málaga, Departamento de Algebra, Geométrí a y Topologí a, Apartado 59, 29080 Málaga (Espagne)

Annales de l’institut Fourier (2002)

  • Volume: 52, Issue: 5, page 1585-1590
  • ISSN: 0373-0956

Abstract

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In this paper we find a formula for the rational LS-category of certain elliptic spaces which generalizes or complements previous work of the subject. This formula is given in terms of the minimal model of the space.

How to cite

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Lechuga, Luis, and Murillo, Aniceto. "A formula for the rational LS-category of certain spaces." Annales de l’institut Fourier 52.5 (2002): 1585-1590. <http://eudml.org/doc/116019>.

@article{Lechuga2002,
abstract = {In this paper we find a formula for the rational LS-category of certain elliptic spaces which generalizes or complements previous work of the subject. This formula is given in terms of the minimal model of the space.},
affiliation = {Universidad de Málaga, Departamento de Algebra, Geométrí a y Topologí a, Apartado 59, 29080 Málaga (Espagne); Universidad de Málaga, Departamento de Algebra, Geométrí a y Topologí a, Apartado 59, 29080 Málaga (Espagne)},
author = {Lechuga, Luis, Murillo, Aniceto},
journal = {Annales de l’institut Fourier},
keywords = {LS-category; minimal model; Ljusternik-Schnirelman category; rational homotopy theory; Toomer invariant},
language = {eng},
number = {5},
pages = {1585-1590},
publisher = {Association des Annales de l'Institut Fourier},
title = {A formula for the rational LS-category of certain spaces},
url = {http://eudml.org/doc/116019},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Lechuga, Luis
AU - Murillo, Aniceto
TI - A formula for the rational LS-category of certain spaces
JO - Annales de l’institut Fourier
PY - 2002
PB - Association des Annales de l'Institut Fourier
VL - 52
IS - 5
SP - 1585
EP - 1590
AB - In this paper we find a formula for the rational LS-category of certain elliptic spaces which generalizes or complements previous work of the subject. This formula is given in terms of the minimal model of the space.
LA - eng
KW - LS-category; minimal model; Ljusternik-Schnirelman category; rational homotopy theory; Toomer invariant
UR - http://eudml.org/doc/116019
ER -

References

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  1. J. Alexander, B. Jessup, Explicit formulae for the rational L S -category of some homogeneous spaces, (2001) Zbl0999.55001
  2. Y. Félix, S. Halperin, Rational L S -category and its applications, Transactions of the American Mathematical Society 273 (1982), 1-38 Zbl0508.55004MR664027
  3. Y. Félix, S. Halperin, J.M. Lemaire, The rational L S -category of products and Poincaré duality complexes, Topology 37 (1998), 749-756 Zbl0897.55001MR1607732
  4. Y. Félix, S. Halperin, J.C. Thomas, Rational Homotopy Theory, 205 (2000), Springer Zbl0961.55002MR1802847
  5. S. Ghorbal, B. Jessup, Estimating the rational L S -category of elliptic spaces, Proceedings of the American Mathematical Society 129 (2000), 1833-1842 Zbl0993.55002MR1814117
  6. B. Jessup, L S -category and homogeneous spaces, Journal of Pure and Applied Algebra 65 (1990), 45-56 Zbl0701.55012MR1065062
  7. L. Lechuga, A. Murillo, The fundamental class of a rational space, the graph coloring problem and other classical decision problems, Bull. of the Belg. Math. Soc 8 (2001), 451-467 Zbl0987.55012MR1860873
  8. A. Murillo, The top cohomology class of certain spaces, Journal of Pure and Applied Algebra 84 (1993), 209-214 Zbl0766.55007MR1201053
  9. A. Murillo, The top cohomology class of classical compact homogeneous spaces, Algebras, Groups and Geometries 16 (1999), 531-550 Zbl0995.57010MR1726733

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