General Topology: Metric Spaces, Dedekind Cut, Isometries, and Hilbert Cube - De Gruyter Textbook - Vipul Kakkar - Libros - De Gruyter - 9783111636061 - 17 de febrero de 2025
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Vipul Kakkar
General Topology: Metric Spaces, Dedekind Cut, Isometries, and Hilbert Cube - De Gruyter Textbook

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This book is dedicated to metric spaces and their topology. The book starts with ZFC axioms. The real number system is constructed by both the Dedekind cut and the Cauchy sequence approach.

The various examples and properties of metric spaces and normed linear spaces are discussed. The different distances between the sets are highlighted. The research work on metric-preserving maps and isometries on different p-norms has been discussed.

Homeomorphism and different equivalent metrics have also been discussed. A detailed description of a metric on the product and the quotient set is also provided. The completion of a metric space as a universal property and applications of the Baire Category Theorem are covered.

A special focus is on compactness and the relation between a compact metric space, the Hilbert Cube, and the Cantor set. The properties of connected and path-connected metric spaces are provided.

Medios de comunicación Libros     Paperback Book   (Libro con tapa blanda y lomo encolado)
Publicado 17 de febrero de 2025
ISBN13 9783111636061
Editores De Gruyter
Páginas 236
Dimensiones 150 × 220 × 10 mm   ·   429 g

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