✦ LIBER ✦

Topology; A First Course

✍ Scribed by James Munkres

Book ID: 127452645
Publisher: Prentice Hall College Div
Year: 1974
Tongue: English
Weight: 4 MB
Edition: 1st edition
Category: Library
ISBN-13: 9780139254956

No coin nor oath required. For personal study only.

✦ Synopsis

This introduction to topology provides separate, in-depth coverage of both general topology and algebraic topology. Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.

📜 SIMILAR VOLUMES

Topology: a first course

✍ James Munkres 📂 Library 📅 1974 🏛 Prentice Hall College Div 🌐 English ⚖ 4 MB

A concise, detailed introduction to topology.

Algebraic topology: a first course

✍ Marvin J. Greenberg, John R. Harper 📂 Library 📅 1981 🏛 Westview Press 🌐 English ⚖ 2 MB

Algebraic topology: a first course

✍ William Fulton 📂 Library 📅 1995 🏛 Springer 🌐 English ⚖ 2 MB

This book introduces the important ideas of algebraic topology emphasizing the relation of these ideas with other areas of mathematics. Rather than choosing one point of view of modern topology (homotropy theory, axiomatic homology, or differential topology, say) the author concentrates on concrete

Algebraic topology: a first course

✍ Marvin J. Greenberg, John R. Harper 📂 Library 📅 1981 🏛 Benjamin/Cummings Pub. Co 🌐 English ⚖ 3 MB

Elementary topology.A first course

✍ Viro O.Y. 📂 Library 🌐 English ⚖ 2 MB

A first course in topology: continuity a

A first course in topology: continuity and dimension

✍ John McCleary 📂 Library 📅 2006 🏛 American Mathematical Society 🌐 English ⚖ 928 KB

How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincaré argued philosophically about the necessity of the three familiar dimensions, while recent research is based on 11 dimensions or even 23 dimensions. The notion of dimension itself presented a bas