- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Some modifications of Scott's theorem on injective spaces
Studia Logica 45 (2):155 - 166 (1986)
Abstract
D. Scott in his paper [5] on the mathematical models for the Church-Curry -calculus proved the following theorem.A topological space X. is an absolute extensor for the category of all topological spaces iff a contraction of X. is a topological space of Scott's open sets in a continuous lattice.My notes
Similar books and articles
Topological Proofs of Some Rasiowa-Sikorski Lemmas.Robert Goldblatt - 2012 - Studia Logica 100 (1-2):175-191.
Universality of the closure space of filters in the algebra of all subsets.Andrzej W. Jankowski - 1985 - Studia Logica 44 (1):1 - 9.
Retracts of the closure space of filters in the lattice of all subsets.Andrzej W. Jankowski - 1986 - Studia Logica 45 (2):135 - 154.
On the role of the baire category theorem and dependent choice in the foundations of logic.Robert Goldblatt - 1985 - Journal of Symbolic Logic 50 (2):412-422.
Generalization of Scott's formula for retractions from generalized alexandroff's cube.Jaros?aw Achinger - 1986 - Studia Logica 45 (3):281 - 292.
Analytics
Added to PP
2009-01-28
Downloads
45 (#324,665)
6 months
7 (#243,727)
2009-01-28
Downloads
45 (#324,665)
6 months
7 (#243,727)
Historical graph of downloads
Citations of this work
Retracts of the closure space of filters in the lattice of all subsets.Andrzej W. Jankowski - 1986 - Studia Logica 45 (2):135 - 154.
Generalization of Scott's formula for retractions from generalized alexandroff's cube.Jaros?aw Achinger - 1986 - Studia Logica 45 (3):281 - 292.
On a problem of p(α, δ, π) concerning generalized alexandroff S cube.Jaros?aw Achinger - 1986 - Studia Logica 45 (3):293 - 300.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-67c5d994d4-9fnpl uwo