A Classification Theorem for Fibre Spaces

• Grant number: 13/22249-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: March 01, 2014
• End date: June 30, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Alice Kimie Miwa Libardi
• Grantee: Pablo Gonzalez Pagotto
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Associated scholarship(s): 15/03341-9 - Infinite symmetric groups and combinatorial constructions of topological field theory type, BE.EP.MS

Abstract

The main goal of this project is to present a study on Homology of Fibre Spaces, based on the book of G.W. Whitehead: ``Elements of Homotopy Theory'' , culminating with a proof of ``A Classification Theorem For Fibre Spaces'' given by J.Stasheff. The demonstration uses the Dold-Lashof construction that will be studied in the book ``Fibration and their Classification'' of R.Piccinini and P.Pavesic. The project also includes part of the material: ``A crash course in quantum invariants of knots'', authored by Louis Funar, which will be developed by the student during his stay in the Institute Joseph Fourier, France, under the supervision of professor Funar.

Academic Publications

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

PAGOTTO, Pablo Gonzalez. The homology of a fibration. 2016. Master's Dissertation - Universidade Estadual Paulista (Unesp). Instituto de Biociências Letras e Ciências Exatas. São José do Rio Preto São José do Rio Preto.