A parametrized version of the Borsuk-Ulam Theorem

• Grant number: 08/07198-2
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2009
• End date: February 28, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Denise de Mattos
• Grantee: Nelson Antonio Silva
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The main objective of this project is to present a proof of the parametrized version of the Borsuk-Ulam theorem proved by Dold in [A. Dold, " Parametrized Borsuk-Ulam theorems" , Comment. Math. Helv., 63, 275-285, 1988.], emphasizing the important technique of the characteristic polynomials.

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

SILVA, Nelson Antonio. A parametrized version of the Borsuk-Ulam theorem. 2011. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.