Journal of Formalized Mathematics

Volume 3, 1991

University of Bialystok

Copyright (c) 1991
Association of Mizar Users

##
Totally Bounded Metric Spaces

**
Alicia de la Cruz**-
Universidad Politecnica de Madrid

#### MML Identifier:
TBSP_1

The terminology and notation used in this paper have been
introduced in the following articles
[16]
[18]
[17]
[10]
[1]
[19]
[2]
[5]
[3]
[12]
[6]
[8]
[13]
[7]
[11]
[15]
[4]
[9]
[14]
Contents (PDF format)

#### Bibliography

- [1]
Grzegorz Bancerek.
The fundamental properties of natural numbers.
*Journal of Formalized Mathematics*,
1, 1989.
- [2]
Grzegorz Bancerek.
The ordinal numbers.
*Journal of Formalized Mathematics*,
1, 1989.
- [3]
Grzegorz Bancerek and Krzysztof Hryniewiecki.
Segments of natural numbers and finite sequences.
*Journal of Formalized Mathematics*,
1, 1989.
- [4]
Leszek Borys.
Paracompact and metrizable spaces.
*Journal of Formalized Mathematics*,
3, 1991.
- [5]
Czeslaw Bylinski.
Functions and their basic properties.
*Journal of Formalized Mathematics*,
1, 1989.
- [6]
Czeslaw Bylinski.
Functions from a set to a set.
*Journal of Formalized Mathematics*,
1, 1989.
- [7]
Agata Darmochwal.
Compact spaces.
*Journal of Formalized Mathematics*,
1, 1989.
- [8]
Agata Darmochwal.
Finite sets.
*Journal of Formalized Mathematics*,
1, 1989.
- [9]
Alicia de la Cruz.
Fix point theorem for compact spaces.
*Journal of Formalized Mathematics*,
3, 1991.
- [10]
Krzysztof Hryniewiecki.
Basic properties of real numbers.
*Journal of Formalized Mathematics*,
1, 1989.
- [11]
Stanislawa Kanas, Adam Lecko, and Mariusz Startek.
Metric spaces.
*Journal of Formalized Mathematics*,
2, 1990.
- [12]
Beata Padlewska.
Families of sets.
*Journal of Formalized Mathematics*,
1, 1989.
- [13]
Beata Padlewska and Agata Darmochwal.
Topological spaces and continuous functions.
*Journal of Formalized Mathematics*,
1, 1989.
- [14]
Jan Popiolek.
Real normed space.
*Journal of Formalized Mathematics*,
2, 1990.
- [15]
Konrad Raczkowski and Andrzej Nedzusiak.
Real exponents and logarithms.
*Journal of Formalized Mathematics*,
2, 1990.
- [16]
Andrzej Trybulec.
Tarski Grothendieck set theory.
*Journal of Formalized Mathematics*,
Axiomatics, 1989.
- [17]
Andrzej Trybulec.
Subsets of real numbers.
*Journal of Formalized Mathematics*,
Addenda, 2003.
- [18]
Zinaida Trybulec.
Properties of subsets.
*Journal of Formalized Mathematics*,
1, 1989.
- [19]
Edmund Woronowicz.
Relations and their basic properties.
*Journal of Formalized Mathematics*,
1, 1989.

Received September 30, 1991

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