Journal of Formalized Mathematics
Volume 7, 1995
University of Bialystok
Copyright (c) 1995
Association of Mizar Users
Continuous, Stable, and Linear Maps of Coherence Spaces

Grzegorz Bancerek

Institute of Mathematics, Polish Academy of Sciences
MML Identifier:
COHSP_1
The terminology and notation used in this paper have been
introduced in the following articles
[14]
[13]
[9]
[17]
[15]
[18]
[6]
[5]
[10]
[16]
[4]
[11]
[1]
[2]
[12]
[3]
[8]
[7]

Directed Sets

Continuous, Stable, and Linear Functions

Graph of Continuous Function

Trace of Stable Function

Trace of Linear Function

Negation of Coherence Spaces

Product and Coproduct on Coherence Spaces
Bibliography
 [1]
Grzegorz Bancerek.
Cardinal numbers.
Journal of Formalized Mathematics,
1, 1989.
 [2]
Grzegorz Bancerek.
Curried and uncurried functions.
Journal of Formalized Mathematics,
2, 1990.
 [3]
Grzegorz Bancerek.
K\"onig's theorem.
Journal of Formalized Mathematics,
2, 1990.
 [4]
Grzegorz Bancerek.
Tarski's classes and ranks.
Journal of Formalized Mathematics,
2, 1990.
 [5]
Grzegorz Bancerek and Krzysztof Hryniewiecki.
Segments of natural numbers and finite sequences.
Journal of Formalized Mathematics,
1, 1989.
 [6]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
 [7]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
 [8]
Czeslaw Bylinski.
Partial functions.
Journal of Formalized Mathematics,
1, 1989.
 [9]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [10]
Agata Darmochwal.
Finite sets.
Journal of Formalized Mathematics,
1, 1989.
 [11]
Jaroslaw Kotowicz and Konrad Raczkowski.
Coherent space.
Journal of Formalized Mathematics,
4, 1992.
 [12]
Andrzej Nedzusiak.
$\sigma$fields and probability.
Journal of Formalized Mathematics,
1, 1989.
 [13]
Andrzej Trybulec.
Enumerated sets.
Journal of Formalized Mathematics,
1, 1989.
 [14]
Andrzej Trybulec.
Tarski Grothendieck set theory.
Journal of Formalized Mathematics,
Axiomatics, 1989.
 [15]
Andrzej Trybulec.
Tuples, projections and Cartesian products.
Journal of Formalized Mathematics,
1, 1989.
 [16]
Andrzej Trybulec and Agata Darmochwal.
Boolean domains.
Journal of Formalized Mathematics,
1, 1989.
 [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 August 30, 1995
[
Download a postscript version,
MML identifier index,
Mizar home page]