Maximal and partial points in formal spaces

Annals of Pure and Applied Logic 137 (1-3):291-298 (2006)
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Abstract

The class of points in a set-presented formal topology is a set, if all points are maximal. To prove this constructively a strengthening of the dependent choice principle to infinite well-founded trees is used

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10.1016/j.apal.2005.05.024

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Citations of this work

Aspects of general topology in constructive set theory.Peter Aczel - 2006 - Annals of Pure and Applied Logic 137 (1-3):3-29.
On the collection of points of a formal space.Giovanni Curi - 2006 - Annals of Pure and Applied Logic 137 (1-3):126-146.
Exact approximations to Stone–Čech compactification.Giovanni Curi - 2007 - Annals of Pure and Applied Logic 146 (2):103-123.
Topological inductive definitions.Giovanni Curi - 2012 - Annals of Pure and Applied Logic 163 (11):1471-1483.

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References found in this work

Aspects of general topology in constructive set theory.Peter Aczel - 2006 - Annals of Pure and Applied Logic 137 (1-3):3-29.
On the collection of points of a formal space.Giovanni Curi - 2006 - Annals of Pure and Applied Logic 137 (1-3):126-146.
Formal spaces and their effective presentations.Inger Sigstam - 1995 - Archive for Mathematical Logic 34 (4):211-246.
Constructive completions of ordered sets, groups and fields.Erik Palmgren - 2005 - Annals of Pure and Applied Logic 135 (1-3):243-262.
Aspects of general topology in constructive set theory.Peter Azcel - 2006 - Annals of Pure and Applied Logic 137 (1-3):3-29.

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