Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
General Topology: Metric Spaces, Dedekind Cut, Isometries, and Hilbert Cube

General Topology: Metric Spaces, Dedekind Cut, Isometries, and Hilbert Cube

Kakkar, Vipul

Paperback

Series: de Gruyter Textbook

General MathematicsGeometry

Publisher Price: $93.99

ISBN10: 3111636062
ISBN13: 9783111636061
Publisher: de Gruyter
Published: Feb 17 2025
Pages: 246
Weight: 0.88
Height: 0.52 Width: 6.69 Depth: 9.61
Language: English

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.

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