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The fibrewise method in topological complexity and its variants

Grant number: 19/20061-0
Support type:Scholarships abroad - Research Internship - Master's degree
Effective date (Start): February 01, 2020
Effective date (End): May 24, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Denise de Mattos
Grantee:Matias de Jong van Lier
Supervisor abroad: Norio Iwase
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Research place: Kyushu University, Japan  
Associated to the scholarship:18/23410-3 - Topological complexity and Lusternik-Schnirelmann category, BP.MS

Abstract

This research project's main goal is to study the fibrewise method for topological complexity,while tackling some interesting open problems such as: (1) the existence of a relation among fibrewise category, fibrewise pointed category and the various forms of topological complexity; (2) the question whether cat_B(X) = cat_B^B(X) for X a fibrewise well-pointed space; (3) the relation between TC(X) and TC^M(X) for X a finite Delta-complex, or a finite CW-complex. (AU)

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