Geodesic
A Note on H-Closed Extensions of a Product
Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 149-153

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

Any Hausdorff space X is a dense subspace of an H-closed space κX, called the Katětov extension of X, with the property that any H-closed extension Y of X is a continuous image of κX under a mapping which leaves X pointwise fixed [8], [10]. In [8], Liu has shown that the extensions κ(X×Y) and κX×κY of X × Y are equal iff (1) X or Y is finite, or (2) X and Y are H-closed. In this note, we examine whether homeomorphism of these two extensions implies equality. We give a condition under which homeomorphism implies equality and an example to show that this relation does not hold in general. 
D’Aristotle, Anthony J. A Note on H-Closed Extensions of a Product. Canadian mathematical bulletin, Tome 19 (1976) no. 2, pp. 149-153. doi: 10.4153/CMB-1976-022-1
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