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

Cover
Title Page
Copyright Page
Preface and Acknowledgement
Chapter 1: Sets, Numbers and Cardinals
	1.1: Sets and Numbers
	1.2: Sets and Cardinal Numbers
	1.3: Axiom of Choice and Equivalent Statements
Chapter 2: Metric Spaces: Definition, Examples and Basics
	2.1: Metric Spaces: Definition and Examples
	2.2: Metric Spaces: Basics
Chapter 3: Topological Spaces: Definition and Examples
	3.1: The Definition and Some Simple Examples
	3.2: Some Basic Notions
	3.3: Bases
	3.4: Dense, nowhere dense sets and related matters
	3.5: Continuous Mappings
Chapter 4: Subspaces, Quotient Spaces, Product Spaces and More
	4.1: Subspaces
	4.2: Quotient Spaces
	4.3: The Gluing Lemma, Topological Sums, and Some Special Quotient Spaces
	4.4: Manifolds and CW-complexes
Chapter 5: Products of Spaces
	5.2: Infinite Products of Spaces
	5.3: Box Topology
Chapter 6: Connected Spaces and Path Connected Spaces
	6.1: Connected Spaces: Definition and Basic Facts
	6.2: Properties of Connected Spaces
	6.3: Path Connected Spaces
	6.4: Path Connected Spaces: More Properties and Related Matters
	6.5: Locally Connected and Locally Path Connected Spaces
Chapter 7: Compactness and Related Matters
	7.1: Compact spaces: definition
	7.2: Properties of Compact Spaces
	7.3: Around Compactness; Lindelöf spaces
	7.4: Bolzano, Weirstrass, Lebesgue and Jordan
	7.5: Compactification
	7.6: Infinite Products of Spaces and Tychonoff Theorem
Chapter 8: Separation Properties
	8.1: The Hierarchy of Separation Properties
	8.2: Regular Spaces and Normal Spaces
	8.3: Normal Spaces and Subspaces
Chapter 9: Urysohn, Tietze and Stone-Čech
	9.1: Urysohn Lemma
	9.2: The Tietze Extension Theorem
	9.3: Stone-Čech Compactification