Introduction to Geometry and Topology

• Main Author: Ballmann, Werner (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Compact Textbooks in Mathematics,
• Subjects: Manifolds (Mathematics).; Complex manifolds.; Differential geometry.; Global analysis (Mathematics).; Manifolds and Cell Complexes (incl. Diff.Topology).; Differential Geometry.; Global Analysis and Analysis on Manifolds.

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...

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.