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Precize Topology

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The entire subject matter in the present book has been arranged in a simple, systematic, graded, lucid and exhaustive manner. Each chapter begins with definitions followed by theorems with complete proofs and solved problems. A large number of notes and remarks have been added for better understanding of the subject. For UGC-CSIR NET examination, some MCQ’s from the previous years papers and other similar questions have been added at the end of the book.

Description

Topological Spaces, Basis for a topology, The order topology, The product topology, The subspace topology, Closed sets and Limit points, Continuous Functions, The product topology, The metric topology, The quotient topology.Connected spaces, Connected subspaces of the real line, Components and Local connectedness.

Compact spaces, Compact space of the real line, Limit point compactness, Local compactness, Nets.
The countability axioms, The separation axioms, Normal spaces, The Urysohn Lemma, The Urysohn Metrization Theorem, The Tietze Extension Theorem, The Tychonoff Theorem.

Additional information

ISBN

9789382295747

Language

English

Binding

Paperback

Year of Publication

2020

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