Integration with respect to the Lefschetz number

2023/12/05 by Alejandro O. Majadas-Moure, Majadas-Moure, Alejandro O., David Mosquera-Lois +1 · 1 citation
Engineering · #57N99 #57Z25 #57Z99 #Advanced Control Systems Optimization #Algebraic Topology (math.AT) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2312.02909

openalex publication_date 2023/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a theory of integration with respect to the Lefschetz number in the context of o-minimal structures containing the semilinear sets. We prove several results and we apply the theory to the field of object detection using sensors.

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