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Algebraic topology

Bray, Clark.

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Algebraic topology

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algebraic topology/ by Clark Bray, Adrian Butscher, Simon Rubinstein-Salzedo.
Author:	Bray, Clark.
other author:	Butscher, Adrian.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xiv, 209 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- 1. Surface Preliminaries -- 2. Surfaces -- 3. The Euler Characteristic and Identification Spaces -- 4. Classification Theorem of Compact Surfaces -- 5. Introduction to Group Theory -- 6. Structure of Groups -- 7. Cosets, Normal Subgroups, and Quotient Groups -- 8. The Fundamental Group -- 9. Computing the Fundamental Group -- 10. Tools for Fundamental Groups -- 11. Applications of Fundamental Groups -- 12. The Seifert-Van Kampen Theorem -- 13. Introduction to Homology -- 14. The Mayer-Vietoris Sequence -- A. Topological Notions -- Bibliography -- Index.
Contained By:	Springer Nature eBook
Subject:	Algebraic topology. -
Online resource:	https://doi.org/10.1007/978-3-030-70608-1
ISBN:	9783030706081

Algebraic topology
Bray, Clark.

Algebraic topology[electronic resource] /by Clark Bray, Adrian Butscher, Simon Rubinstein-Salzedo. - Cham :Springer International Publishing :2021. - xiv, 209 p. :ill., digital ;24 cm.

Introduction -- 1. Surface Preliminaries -- 2. Surfaces -- 3. The Euler Characteristic and Identification Spaces -- 4. Classification Theorem of Compact Surfaces -- 5. Introduction to Group Theory -- 6. Structure of Groups -- 7. Cosets, Normal Subgroups, and Quotient Groups -- 8. The Fundamental Group -- 9. Computing the Fundamental Group -- 10. Tools for Fundamental Groups -- 11. Applications of Fundamental Groups -- 12. The Seifert-Van Kampen Theorem -- 13. Introduction to Homology -- 14. The Mayer-Vietoris Sequence -- A. Topological Notions -- Bibliography -- Index.

Algebraic Topology is an introductory textbook based on a class for advanced high-school students at the Stanford University Mathematics Camp (SUMaC) that the authors have taught for many years. Each chapter, or lecture, corresponds to one day of class at SUMaC. The book begins with the preliminaries needed for the formal definition of a surface. Other topics covered in the book include the classification of surfaces, group theory, the fundamental group, and homology. This book assumes no background in abstract algebra or real analysis, and the material from those subjects is presented as needed in the text. This makes the book readable to undergraduates or high-school students who do not have the background typically assumed in an algebraic topology book or class. The book contains many examples and exercises, allowing it to be used for both self-study and for an introductory undergraduate topology course.

ISBN: 9783030706081

Standard No.: 10.1007/978-3-030-70608-1doiSubjects--Topical Terms:

532744
Algebraic topology.

LC Class. No.: QA612 / .B739 2021

Dewey Class. No.: 514.2

Algebraic topology
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100 1 $a Bray, Clark. $3 3506135
245 1 0 $a Algebraic topology $h [electronic resource] / $c by Clark Bray, Adrian Butscher, Simon Rubinstein-Salzedo.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xiv, 209 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- 1. Surface Preliminaries -- 2. Surfaces -- 3. The Euler Characteristic and Identification Spaces -- 4. Classification Theorem of Compact Surfaces -- 5. Introduction to Group Theory -- 6. Structure of Groups -- 7. Cosets, Normal Subgroups, and Quotient Groups -- 8. The Fundamental Group -- 9. Computing the Fundamental Group -- 10. Tools for Fundamental Groups -- 11. Applications of Fundamental Groups -- 12. The Seifert-Van Kampen Theorem -- 13. Introduction to Homology -- 14. The Mayer-Vietoris Sequence -- A. Topological Notions -- Bibliography -- Index.
520 $a Algebraic Topology is an introductory textbook based on a class for advanced high-school students at the Stanford University Mathematics Camp (SUMaC) that the authors have taught for many years. Each chapter, or lecture, corresponds to one day of class at SUMaC. The book begins with the preliminaries needed for the formal definition of a surface. Other topics covered in the book include the classification of surfaces, group theory, the fundamental group, and homology. This book assumes no background in abstract algebra or real analysis, and the material from those subjects is presented as needed in the text. This makes the book readable to undergraduates or high-school students who do not have the background typically assumed in an algebraic topology book or class. The book contains many examples and exercises, allowing it to be used for both self-study and for an introductory undergraduate topology course.
650 0 $a Algebraic topology. $3 532744
650 1 4 $a Algebraic Topology. $3 891269
650 2 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Topological Groups, Lie Groups. $3 891005
700 1 $a Butscher, Adrian. $3 3506136
700 1 $a Rubinstein-Salzedo, Simon. $3 3506137
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-70608-1
950 $a Mathematics and Statistics (SpringerNature-11649)