An illustrated introduction to topology and homotopy / Sasho Kalajdzievski, University of Manitoba, Winnipeg, Canada.

Bibliographic Details
Main Author: Kalajdzievski, Sasho (Author)
Language:English
Published: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2015]
Subjects:
Topology > Textbooks.
Homotopy theory > Textbooks.
Homotopy theory.
Topology.
Genre:
Textbooks.
Physical Description:xvi, 469 pages : illustrations ; 26 cm
Variant Title:
Introduction to topology and homotopy.
Format: Book
Contents:
  • Sets, numbers, and cardinals
  • Metric spaces: definition, examples, and basics
  • Topological spaces: definition and examples
  • Subspaces, quotient spaces, manifolds, and CW-complexes
  • Products of spaces
  • Connected spaces and path connected spaces
  • Compactness and related matters
  • Separation properties
  • Urysohn, Tietze, and Stone-Čech
  • Isotopy and homotopy
  • The fundamental group of a circle and applications
  • Combinatorial group theory
  • Seifert-van Kampen theorem and applications
  • On classifying manifolds and related topics
  • Covering spaces, part 1
  • Covering spaces, part 2
  • Applications in group theory.