An Illustrated Introduction to Topology and Homotopy

An Illustrated Introduction to Topology and Homotopy
Author: Sasho Kalajdzievski
Publisher: CRC Press
Total Pages: 488
Release: 2015-03-24
Genre: Mathematics
ISBN: 1482220814

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

An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology

An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology
Author: Sasho Kalajdzievski
Publisher: CRC Press
Total Pages: 152
Release: 2020-08-13
Genre: Mathematics
ISBN: 1000158160

This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered problemsappearing in first part of the book (Topology). The primary targets of this manual are thestudents of topology. This set is not disjoint from the set of instructors of topologycourses, who may also find this manual useful as a source of examples, exam problems,etc.

An Illustrated Introduction to Topology and Homotopy - Solutions Manual

An Illustrated Introduction to Topology and Homotopy - Solutions Manual
Author: Taylor & Francis Group
Publisher:
Total Pages:
Release: 2012-05-15
Genre:
ISBN: 9781439848203

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. 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- ech 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 various examples that show how the theory can be applied. Each section starts with brief historical notes that trace the growth of the subject and ends with a set of exercises. "

An Introduction to Topology and Homotopy

An Introduction to Topology and Homotopy
Author: Allan J. Sieradski
Publisher: Brooks/Cole
Total Pages: 510
Release: 1992
Genre: Mathematics
ISBN:

This text is an introduction to topology and homotopy. Topics are integrated into a coherent whole and developed slowly so students will not be overwhelmed.

An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology

An Illustrated Introduction to Topology and Homotopy Solutions Manual for Part 1 Topology
Author: Sasho Kalajdzievski
Publisher: CRC Press
Total Pages: 110
Release: 2020-08-13
Genre: Mathematics
ISBN: 1000115364

This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered problemsappearing in first part of the book (Topology). The primary targets of this manual are thestudents of topology. This set is not disjoint from the set of instructors of topologycourses, who may also find this manual useful as a source of examples, exam problems,etc.

Introduction to Homotopy Theory

Introduction to Homotopy Theory
Author: Martin Arkowitz
Publisher: Springer Science & Business Media
Total Pages: 352
Release: 2011-07-25
Genre: Mathematics
ISBN: 144197329X

This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows: Basic Homotopy; H-spaces and co-H-spaces; fibrations and cofibrations; exact sequences of homotopy sets, actions, and coactions; homotopy pushouts and pullbacks; classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead; homotopy Sets; homotopy and homology decompositions of spaces and maps; and obstruction theory. The underlying theme of the entire book is the Eckmann-Hilton duality theory. The book can be used as a text for the second semester of an advanced ungraduate or graduate algebraic topology course.

Introduction to Topology

Introduction to Topology
Author: V. A. Vasilʹev
Publisher: American Mathematical Soc.
Total Pages: 165
Release: 2001
Genre: Mathematics
ISBN: 0821821628

This English translation of a Russian book presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. In particular, ideas and results are introduced related to manifolds, cell spaces, coverings and fibrations, homotopy groups, homology and cohomology, intersection index, etc. The author notes, "The lecture note origins of the book left a significant imprint on itsstyle. It contains very few detailed proofs: I tried to give as many illustrations as possible and to show what really occurs in topology, not always explaining why it occurs." He concludes, "As a rule, only those proofs (or sketches of proofs) that are interesting per se and have importantgeneralizations are presented."

A Combinatorial Introduction to Topology

A Combinatorial Introduction to Topology
Author: Michael Henle
Publisher: Courier Corporation
Total Pages: 340
Release: 1994-01-01
Genre: Mathematics
ISBN: 9780486679662

Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.

Introduction to Topology

Introduction to Topology
Author: Theodore W. Gamelin
Publisher: Courier Corporation
Total Pages: 258
Release: 2013-04-22
Genre: Mathematics
ISBN: 0486320189

This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983 edition.