Essentials of Topology with Applications

ISBN-13: 9781420089745 / Angielski / Twarda / 2009 / 424 str.

Steven G Krantz

Opis

Provides an introduction to the basics of modern topology. This work presents the traditional concepts of topological space, open and closed sets, separation axioms, and more, along with applications of the ideas in Morse, manifold, homotopy, and homology theories.

Spis treści

Fundamentals. Advanced Properties of Topological Spaces. Basic Algebraic Topology. Manifold Theory. Moore–Smith Convergence and Nets. Function Spaces. Knot Theory. Graph Theory. Dynamical Systems. Appendices. Solutions of Selected Exercises. Bibliography. Index.

O autorze

Steven G. Krantz is a professor in the Department of Mathematics at Washington University in St. Louis, Missouri, USA.