On Pseudometric Spaces

Adam Lecko

Technical University of Rzeszow

Mariusz Startek

Technical University of Rzeszow

Summary.

We introduce the equivalence classes in a pseudometric space. Next we prove that the set of the equivalence classes forms the metric space with the special metric defined in the article.

Supported by RPBP.III-24.B3.

MML Identifier: METRIC_2

Contents (PDF format)

Bibliography

[1] Czeslaw Bylinski. Functions from a set to a set. Journal of Formalized Mathematics, 1, 1989.

[2] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.

[3] Stanislawa Kanas, Adam Lecko, and Mariusz Startek. Metric spaces. Journal of Formalized Mathematics, 2, 1990.

[4] Andrzej Trybulec. Domains and their Cartesian products. Journal of Formalized Mathematics, 1, 1989.

[5] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.

[6] Andrzej Trybulec. Tuples, projections and Cartesian products. Journal of Formalized Mathematics, 1, 1989.

[7] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.

[8] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.