Journal of Formalized Mathematics
Volume 4, 1992
University of Bialystok
Copyright (c) 1992 Association of Mizar Users

Finite Topological Spaces


Hiroshi Imura
Shinshu University, Nagano
Masayoshi Eguchi
Shinshu University, Nagano

Summary.

By borrowing the concept of neighbourhood from the theory of topological space in continuous cases and extending it to a discrete case such as a space of lattice points we have defined such concepts as boundaries, closures, interiors, isolated points, and connected points as in the case of continuity. We have proved various properties which are satisfied by these concepts.

MML Identifier: FIN_TOPO

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

Contents (PDF format)

Bibliography

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Received November 27, 1992

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