Can I read An Illustrated Introduction to Topology and Homotopy on EtoBox?

An Illustrated Introduction to Topology and Homotopy by Kalajdzievski, Sasho is a nonfiction available to read on EtoBox.

What is An Illustrated Introduction to Topology and Homotopy about?

Main subject categories: • Topology • Homotopy • Covering spaces • Group theoryAn 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.The first part of the text covers basic topology, ranging from metric spaces and the axioms of topology through subspaces, product spaces, connectedness, compactness, and separation axioms to Urysohn’s lemma, Tietze’s theorems, and Stone-Čech compactification. Focusing on homotopy, the second part starts with the notions of ambient isotopy, homotopy, and the fundamental group. The book then covers basic combinatorial group theory, the Seifert-van Kampen theorem, knots, and low-dimensional manifolds. The last three chapters discuss the theory of covering spaces, the Borsuk-Ulam theorem, and applications in group theory, including various subgroup theorems.Requiring only some familiarity with group theory, the text includes a large number of figures as well as v

Who reads An Illustrated Introduction to Topology and Homotopy?

Author

Kalajdzievski, Sasho

Publisher

CRC Press; Taylor & Francis Group, LLC

Published

2015

Language

EN

ISBN

9781439848166

Category

nonfiction

Subjects

Science, Physics, Mathematics