# Tychonoff's theorem without the axiom of choice

Fundamenta Mathematicae (1981)

- Volume: 113, Issue: 1, page 21-35
- ISSN: 0016-2736

## Access Full Article

top## How to cite

topJohnstone, P.. "Tychonoff's theorem without the axiom of choice." Fundamenta Mathematicae 113.1 (1981): 21-35. <http://eudml.org/doc/211282>.

@article{Johnstone1981,

author = {Johnstone, P.},

journal = {Fundamenta Mathematicae},

keywords = {choice-free construction of Stone-Cech compactification of a locale; topos-theoretic applications; category of frames; category of locales; Tikhonov's theorem},

language = {eng},

number = {1},

pages = {21-35},

title = {Tychonoff's theorem without the axiom of choice},

url = {http://eudml.org/doc/211282},

volume = {113},

year = {1981},

}

TY - JOUR

AU - Johnstone, P.

TI - Tychonoff's theorem without the axiom of choice

JO - Fundamenta Mathematicae

PY - 1981

VL - 113

IS - 1

SP - 21

EP - 35

LA - eng

KW - choice-free construction of Stone-Cech compactification of a locale; topos-theoretic applications; category of frames; category of locales; Tikhonov's theorem

UR - http://eudml.org/doc/211282

ER -

## Citations in EuDML Documents

top- Roswitha Harting, Locally injective $G$-sheaves of abelian groups
- A. Pultr, W. Tholen, Local enrichments of categories
- Bernhard Banaschewski, Another look at the localic Tychonoff theorem
- S. B. Niefield, Cartesian spaces over $T$ and locales over $\Omega \left(T\right)$
- A. Pultr, J. Sichler, A Priestley view of spatialization of frames
- Igor Kříž, A direct description of uniform completion in locales and a characterization of $LT$-groups
- Igor Kříž, Aleš Pultr, Peculiar behavior of connected locales
- Igor Kříž, A constructive proof of the Tychonoff's theorem for locales

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.