Sasho Kalajdzievski

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

• Format: PDF

Produktbeschreibung

An Illustrated Introduction to Topology and Homotopy 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. This self-contained book takes a visual and rigorous approach that incorporates both extensive illustrations and full proofs

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Produktdetails

• Verlag: Taylor & Francis eBooks
• 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.