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

Coherent Space


Jaroslaw Kotowicz
Warsaw University, Bialystok
Konrad Raczkowski
Warsaw University, Bialystok

Summary.

Coherent Space, web of coherent space and two categories: category of coherent spaces and category of tolerances on same fixed set.

MML Identifier: COH_SP

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

Contents (PDF format)

  1. Coherent Space and Web of Coherent Space
  2. Category of Coherent Spaces
  3. Category of Tolerances

Bibliography

[1] Grzegorz Bancerek. Tarski's classes and ranks. Journal of Formalized Mathematics, 2, 1990.
[2] Czeslaw Bylinski. Functions and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[3] Czeslaw Bylinski. Functions from a set to a set. Journal of Formalized Mathematics, 1, 1989.
[4] Czeslaw Bylinski. Introduction to categories and functors. Journal of Formalized Mathematics, 1, 1989.
[5] Czeslaw Bylinski. Partial functions. Journal of Formalized Mathematics, 1, 1989.
[6] Czeslaw Bylinski. Some basic properties of sets. Journal of Formalized Mathematics, 1, 1989.
[7] Krzysztof Hryniewiecki. Relations of tolerance. Journal of Formalized Mathematics, 2, 1990.
[8] Konrad Raczkowski and Pawel Sadowski. Equivalence relations and classes of abstraction. Journal of Formalized Mathematics, 1, 1989.
[9] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.
[10] Andrzej Trybulec. Tuples, projections and Cartesian products. Journal of Formalized Mathematics, 1, 1989.
[11] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.
[12] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.
[13] Edmund Woronowicz. Relations defined on sets. Journal of Formalized Mathematics, 1, 1989.

Received December 29, 1992


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