Sasho Kalajdzievski

An Illustrated Introduction to Topology and Homotopy (eBook, PDF)

• Format: PDF

Produktbeschreibung

This self-contained book explores the beauty of topology and homotopy theory in a direct and engaging manner while illustrating the power of the theory through many, often surprising, applications. It takes a visual and rigorous approach that incorporates both extensive illustrations and full proofs. Requiring only some familiarity with group theory, the text incorporates nearly 600 figures as well as various examples that show how the theory can be applied. It also includes roughly 750 exercises, many of which are relatively new.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 485
• Erscheinungstermin: 24. März 2015
• Englisch
• ISBN-13: 9781482220810
• Artikelnr.: 55339724

Autorenporträt

Sasho Kalajdzievski

Inhaltsangabe

TOPOLOGY: Sets
Numbers
Cardinals
and Ordinals. 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-¿ech. HOMOTOPY: 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. Applications in Group Theory. Bibliography.