Bert Mendelson

Introduction to Topology: Third Edition

• Gebundenes Buch

Produktdetails

• Verlag: www.bnpublishing.com
• Seitenzahl: 224
• Erscheinungstermin: 3. Juli 2019
• Englisch
• Abmessung: 232mm x 157mm x 22mm
• Gewicht: 374g
• ISBN-13: 9781638232346
• ISBN-10: 1638232342
• Artikelnr.: 66403263

Inhaltsangabe

Preface 1 Theory of Sets 1 Introduction 2 Sets and subsets 3 "Set
operations: union, intersection, and complement" 4 Indexed families of sets
5 Products of sets 6 Functions 7 Relations 8 Composition of functions and
diagrams 9 "Inverse functions, extensions, and restrictions" 10 Arbitrary
products 2 Metric Spaces 1 Introduction 2 Metric spaces 3 Continuity 4 Open
balls and neighborhoods 5 Limits 6 Open sets and closed sets 7 Subspaces
and equivalence of metric spaces 8 An infinite dimensional Euclidean space
3 Topological Spaces 1 Introduction 2 Topological spaces 3 Neighborhoods
and neighborhood spaces 4 "Closure, interior, boundary" 5 "Functions,
continuity, homeomorphism" 6 Subspaces 7 Products 8 Identification
topologies 9 Categories and functors 4 Connectedness 1 Introduction 2
Connectedness 3 Connectedness on the real line 4 Some applications of
connectedness 5 Components and local connectedness 6 Path-connected
topological spaces 7 Homotopic paths and the fundamental group 8 Simple
connectedness 5 Compactness 1 Introduction 2 Compact topological spaces 3
Compact subsets of the real line 4 Products of compact spaces 5 Compact
metric spaces 6 Compactness and the Bolzano-Weierstrass property 7 Surfaces
by identification Bibliography Index