Geodesic
The Maximal Extension of a Zero-dimensional Product Space
Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 192-201

Voir la notice de l'article provenant de la source Cambridge University Press

It is known that if a topological property of Tychonoff spaces is closed-hereditary, productive and possessed by all compact Hausdorff spaces, then each (0-dimensional) Tychonoff space X is a dense subspace of a (0-dimensional) Tychonoff space with such that each continuous map from X to a (0-dimensional) Tychonoff space with admits a continuous extension over . In response to Broverman's question [Canad. Math. Bull. 19 (1), (1976), 13–19], we prove that if for every two 0-dimensional Tychonoff spaces X and Y, if and only if , then is contained in countable compactness.
DOI : 10.4153/CMB-1983-031-9
Mots-clés : Primary 54D35, 54B10, Secondary 54B30, Extension property, maximal extension, 0-dimensional space, product, countably compact, ultrarealcompact, Pz(א1)-compact, Stone-Čech compactification 
Ohta, Haruto. The Maximal Extension of a Zero-dimensional Product Space. Canadian mathematical bulletin, Tome 26 (1983) no. 2, pp. 192-201. doi: 10.4153/CMB-1983-031-9
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