An estimate of the dimension of counter-image of $Z_{p^k}$- equivariant mapping between spheres of representations

• Grant number: 11/18761-2
• 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: Edivaldo Lopes dos Santos
• Grantee: Edivaldo Lopes dos Santos
• Host Investigator: Waclaw Boleslaw Marzantowicz
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
• Institution abroad: Adam Mickiewicz University (AMU), Poland

Abstract

The main objective of this research project is to extend the classical Borsuk-Ulam-Yang theorem for cyclic group of order power of a prime number $ p $. (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)