Submetric Spaces --- Part I

Adam Lecko

Technical Univercity of Rzeszow

Mariusz Startek

Technical University of Rzeszow

Summary.

Definitions of pseudometric space, nonsymmetric metric space, semimetric space and ultrametric space are introduced. We find some relations between these spaces and prove that every ultrametric space is a metric space. We define the relation {\it is between}. Moreover we introduce the notions of the open segment and the closed segment.

Supported by RPBP.III-24.B3.

MML Identifier: SUB_METR

Contents (PDF format)

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