Introduction to Geometry and Topology

This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem...

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Bibliographic Details
Main Author: Ballmann, Werner (Author)
Format: Electronic eBook
Language:English
Published: Basel : Springer Basel, 2018.
Edition:1st ed. 2018.
Series:Compact Textbooks in Mathematics,
Subjects:
Manifolds (Mathematics).
Complex manifolds.
Differential geometry.
Global analysis (Mathematics).
ISBN:9783034809832
ISSN:2296-4568
Online Access: Get full text
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Table of Contents:
  • I. First Steps in the Topology
  • II. Manifolds
  • III. Differential Forms and Cohomology
  • IV. Geometry of Submanifolds
  • A. Alternating Multilinear Forms
  • B. Cochain Complexes
  • Bibliography
  • Index.

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