M. J. Pereira-Sáez

activity

20092021

most citedTrace map, Cayley transform and LS category of Lie groups

2 citations · 3 across the 4 of their papers we have counts for

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math.AT2021

Homotopic distance and generalized motion planning

E. Macías-Virgós, D. Mosquera-Lois, M. J. Pereira-Sáez

We prove that the homotopic distance between two maps defined on a manifold is bounded above by the sum of their subspace distances on the critical submanifol of any Morse-Bott fun…

math.AT2019

Relative singular value decomposition and applications to LS-category

E. Macías-Virgós, M. J. Pereira-Sáez, Daniel Tanré

Let $S p (n)$ be the symplectic group of quaternionic $(n \times n)$ -matrices. For any $1 \leq k \leq n$ , an element $A$ of $S p (n)$ can be decomposed in $A= \begin{bmatrix} α&T\cr β&P \…

math.AT2009★ 2 cited

Trace map, Cayley transform and LS category of Lie groups

A. Gómez-Tato, E. Macías-Virgós, M. J. Pereira-Sáez

The aim of this paper is to use the so-called Cayley transform to compute the LS category of Lie groups and homogeneous spaces by giving explicit categorical open coverings. When a…