Primary obstruction to topological embeddings between manifolds

• Grant number: 23/01101-7
• Support Opportunities: Scholarships in Brazil - Master
• Start date: May 01, 2023
• End date: September 02, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edivaldo Lopes dos Santos
• Grantee: Odete Lara Melo Budtinger
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Associated research grant: 16/24707-4 - Algebraic, geometric and differential topology, AP.TEM
• Associated scholarship(s): 24/06290-5 - A primary obstruction to topological embeddings between generalized manifolds, BE.EP.MS

Abstract

The main goal of this work is to present a study on a primary obstruction to the existence of a homotopy between a given map f and a topological embedding between topological manifolds (generalized manifolds). Moreover, to present some consequences and applications related to such a class.