An illustrated introduction to topology and homotopy

Detalles Bibliográficos
Autor principal: Kalajdzievski, Sasho (autor)
Formato: Libro
Lenguaje:English
Publicado: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2015]
Materias:
Topología > Libros de texto
Teoría homotópica > Libros de texto
Tabla de Contenidos:
  • 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.

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