Equivariant mini-max theories, ring-valued genus, and the Borsuk-Ulam theorems

• Grant number: 11/18758-1
• Support Opportunities: Scholarships abroad - Research
• Start date: February 01, 2012
• End date: July 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Denise de Mattos
• Grantee: Denise de Mattos
• Host Investigator: Waclaw Boleslaw Marzantowicz
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Adam Mickiewicz University (AMU), Poland

Abstract

The main objective of this research project is to define a value-ring genus for G-spaces and estimate the number of critical values and types of critical orbits for G-functions. Borsuk-Ulam type theorems will also be discussed. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

MARZANTOWICZ, WACLAW; DE MATTOS, DENISE; DOS SANTOS, EDIVALDO L.. Bourgin-Yang version of the Borsuk-Ulam theorem for Z(pk)-equivariant maps. Algebraic and Geometric Topology, v. 12, n. 4, p. 2245-2258, 2012. (11/18761-2, 11/18758-1, 10/51910-9)

DE MATTOS, DENISE; PERGHER, PEDRO LUIZ Q.; DOS SANTOS, EDIVALDO L.. Borsuk-Ulam theorems and their parametrized versions for spaces of type. (a , b). Algebraic and Geometric Topology, v. 13, n. 5, p. 2827-2843, 2013. (11/18761-2, 11/18758-1)