A Basic Course in Topology

This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects. It is designed as a bridge between elementary courses in analysis and linear algebra and more advanced classes in algebraic and geometric topology, making it particu...

Descrición completa

Gardado en:
Detalles Bibliográficos
Main Authors: Laures, Gerd (Author), Szymik, Markus (Author)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Birkhäuser, 2025.
Edición:1st ed. 2025.
Series:Compact Textbooks in Mathematics,
Subjects:
Acceso en liña:https://doi.org/10.1007/978-3-662-70602-2
Tags: Engadir etiqueta
Sen Etiquetas, Sexa o primeiro en etiquetar este rexistro!
Table of Contents:
  • - Basic Concepts of Topology
  • Universal Constructions
  • Connectivity and Separation
  • Compactness and Mapping Spaces
  • Transformation Groups
  • Paths and Loops
  • The Fundamental Group
  • Covering Spaces
  • Bundles and Fibrations
  • Sheaves
  • Simplicial Sets.