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โœฆ   LIBER   โœฆ
๐Ÿ“

Metric and Topological Spaces

โœ Scribed by J. Rasmussen, ed. Dexter Chua

Publisher
University of Cambridge
Year
2015
Tongue
English
Leaves
41
Series
Cambridge Mathematical Tripos Part IB Lecture Notes
Category
Library
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โœฆ Table of Contents

Introduction
Metric spaces
Definitions
Examples of metric spaces
Norms
Open and closed subsets
Topological spaces
Definitions
Sequences
Closed sets
Closure and interior
Closure
Interior
New topologies from old
Subspace topology
Product topology
Quotient topology
Connectivity
Connectivity
Path connectivity
Higher connectivity*
Components
Path components
Connected components
Compactness
Compactness
Products and quotients
Products
Quotients
Sequential compactness
Completeness

โœฆ Subjects

maths; mathematics; math; advanced; college; university; higher; further; pure; applied; topology

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