Introduction to Topology
Autor Min Yanen Limba Engleză Paperback – 22 feb 2016
Contents: Set and Map Metric Space Graph Topology Topological Concepts Complex Topological Properties Surface Topics in Point Set Topology Index
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Specificații
ISBN-13: 9783110378153
ISBN-10: 3110378159
Pagini: 250
Ilustrații: 155 schw.-w. Abb., 100 schw.-w. Tab.
Dimensiuni: 170 x 240 x 14 mm
Greutate: 0.43 kg
Ediția:1. Auflage
Editura: De Gruyter
Locul publicării:Berlin/Boston
ISBN-10: 3110378159
Pagini: 250
Ilustrații: 155 schw.-w. Abb., 100 schw.-w. Tab.
Dimensiuni: 170 x 240 x 14 mm
Greutate: 0.43 kg
Ediția:1. Auflage
Editura: De Gruyter
Locul publicării:Berlin/Boston
Notă biografică
AD> Min Yan, HongKong University of Science and Technology, HongKong.
Cuprins
AD> 1 Set and Map 1.1 Set 1.2 Map 1.3 Counting 1.4 Equivalence Relation and Quotient 2.Metric Space 2.1 Metric 2.2 Ball 2.3 Open Subset 2.4 Continuity 2.5 Limit Point 2.6 Closed Subset 3.Graph and Network 3.1 Seven Bridges in KSnigsberg 3.2 Proof of One-Trip Criterion 3.3 Euler Formula 3.4 Application of Euler Formula 4 Topology 4.1 Topological Basis and Subbasis 4.2 Open Subset 4.3 Topological Space 4.4 Comparing Topologies 4.5 Limit Point and Closed Subset 4.6 Closure 5 Basic Topological Concepts 5.1 Continuity 5.2 Homeomorphism 5.3 Subspace 5.4 Product 5.5 Quotient 6. Complex 6.1 Simplicial Complex 6.2 CW-Complex 6.3 Projective Space 6.4 Euler Number 7 Topological Properties 7.1 Hausdorff Space 7.2 Connected Space 7.3 Path Connected Space 7.4 Connected Component 7.5 Compact Space 7.6 Limit Point Compact Space 8 Surface 8.1 Manifold 8.2 Surface 8.3 Simplicial Surface 8.4 Planar Diagram 8.5 Cut and Paste 8.6 Classification of Surface 8.7 Recognition of Surface 9 Topics in Point Set Topology 9.1 Normal Space 9.2 Paracompact Space 9.3 Complete Metric Space 9.4 Baire Category Theorem 9.5 Infinite Product 9.6 Space-Filling Curve 9.7 Space of Maps