2023/03/12 by Cesar A. Ipanaque Zapata, Zapata, Cesar A. Ipanaque, Fernando R. Chu Rivera +1
Computer Science · Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #History and Theory of Mathematics #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2303.06715
openalex publication_date 2023/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we introduce the notion of transversal topological complexity (TTC) for a smooth manifold X with respect to a submanifold of codimension 1 together with basic results about this numerical invariant. In addition, we present several examples of explicit transversal algorithms.