关于射影积空间的ls -范畴和拓扑复杂度

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2021-11-08 DOI:10.1007/s40062-021-00295-3

Seher Fişekci, Lucile Vandembroucq

引用次数: 4

摘要

我们确定了D. Davis引入的射影积空间的Lusternik-Schnirelmann范畴。我们还得到了这些空间的拓扑复杂度的上界，改进了J. González, M. Grant, E. Torres-Giese和M. xicotsamncatl给出的估计。

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On the LS-category and topological complexity of projective product spaces

We determine the Lusternik-Schnirelmann category of the projective product spaces introduced by D. Davis. We also obtain an upper bound for the topological complexity of these spaces, which improves the estimate given by J. González, M. Grant, E. Torres-Giese, and M. Xicoténcatl.

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.