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Volume : XV, Issue : III, April - 2025

THE GEOMETRY OF METRIC SPACES: ISOMETRIES, EMBEDDINGS, AND METRIC GEOMETRY

Dr. Anant Nivruttirao Patil, -

By : Laxmi Book Publication

Abstract :

With an emphasis on isometries, embeddings, and the basic ideas of metric geometry, this paper investigates the geometry of metric spaces. The definition and characteristics of isometries—structure-preserving transformations that preserve distances between points—are covered first.

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Cite This Article :

Dr. Anant Nivruttirao Patil, -(2025). THE GEOMETRY OF METRIC SPACES: ISOMETRIES, EMBEDDINGS, AND METRIC GEOMETRY. Indian Streams Research Journal, Vol. XV, Issue. III, http://isrj.org/UploadedData/11301.pdf

References :

  1. 1. Banach, S. (1932). Theory of Linear Operations. Dover Publications.
  3. 2. Bourbaki, N. (2004). Elements of Mathematics: General Topology. Springer.

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