Sequences in Metric Spaces

Journal of Formalized Mathematics
Volume 3, 1991
University of Bialystok
Copyright (c) 1991 Association of Mizar Users

Sequences in Metric Spaces

Stanislawa Kanas: Technical University of Rzeszow
Adam Lecko: Technical University of Rzeszow

Summary.

Sequences in metric spaces are defined. The article contains definitions of bounded, convergent, Cauchy sequences. The subsequences are introduced too. Some theorems concerning sequences are proved.

MML Identifier: METRIC_6

The terminology and notation used in this paper have been introduced in the following articles [15] [5] [17] [1] [16] [12] [18] [3] [4] [7] [8] [11] [9] [10] [2] [6] [13] [14]

Contents (PDF format)

Bibliography

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[13] Jan Popiolek. Real normed space. Journal of Formalized Mathematics, 2, 1990.

[14] Jan Popiolek. Introduction to Banach and Hilbert spaces --- part III. Journal of Formalized Mathematics, 3, 1991.

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

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

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

[18] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

Received December 12, 1991

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