Alejandro O. Majadas-Moure

collaborators

5 papers

math.DS2026

On Lefschetz's point-free periodicity

Alejandro O. Majadas-Moure

We motivate two new approaches to the study of Lefschetz point-free periodicity. The first focusses on spaces satisfying the Wecken property. As an example, we study the bubble spa…

math.AT2026

Singular multivalued homology

Alejandro O. Majadas-Moure

Let $X$ be a compact, Hausdorff topological space. Then $H_{n}^{M} (X) = 0$ for all $n > 0$ , where $H_{n}$ is the multivalued analogue of singular homology. The case $n = 1$ is already known [8…

math.AT2026

Morse-Bott inequalities for endomorphisms

Enrique MacÃas-VirgÃ³s, Alejandro O. Majadas-Moure, David Mosquera-Lois +1

Let $K$ be a finite simplicial complex, let $g : K \to K$ be a simplicial map and let $f$ be a discrete Morse-Bott function on $K$ satisfying $f (g (I ¨ )) \leq f (I ¨ )$ for all simpli…

math.AT2026

New Applications and Computations of the Lefschetz Number of Homeomorphisms and Open Maps

JesÃºs A. Ãlvarez LÃ³pez, Jesús A. Álvarez López, Alejandro O. Majadas-Moure

We show that the combinatorial Lefschetz number is a topological invariant. This is an important result in itself; in order to point it out, we will also work here several relevant…

math.AT2025

A Combinatorial Study of the Fixed Point Index

JesÃºs A. Ãlvarez LÃ³pez, Alejandro O. Majadas-Moure, David Mosquera-Lois

We introduce a theory of integration with respect to the fixed point index, offering a substantial improvement over previous approaches based on the Lefschetz number. This framewor…