Proceedings of the International Conference on Geometry, Integrability and Quantization

Aspects of Lusternik-Schnirelmann Category

John Oprea

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Abstract

In this paper we review certain Lusternik-Schnirelmann categorical notions that pertain especially to Eilenberg-Mac Lane spaces. Further, we introduce a new categorical invariant that allows a refined estimate for category. Finally, we mention some results about topological complexity and relate these to category.

Article information

Source
Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Andrei Ludu and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2015), 13-35

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436815735

Digital Object Identifier
doi:10.7546/giq-16-2015-13-35

Mathematical Reviews number (MathSciNet)
MR3363836

Zentralblatt MATH identifier
1356.55001

Citation

Oprea, John. Aspects of Lusternik-Schnirelmann Category. Proceedings of the Sixteenth International Conference on Geometry, Integrability and Quantization, 13--35, Avangard Prima, Sofia, Bulgaria, 2015. doi:10.7546/giq-16-2015-13-35. https://projecteuclid.org/euclid.pgiq/1436815735


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