Cohen algebras and nowhere dense ultrafilters

• Autorzy: Błaszczyk, A. , Szymański, A.
• Języki publikacji: EN

Abstrakty

EN

We study a class of countable extremally disconnected spaces vrithout isolated points. We show that the Cech-Stone compactification of a space from this class admits a semi-open continuous maps onto a Cantor cube if and only if the space itself is modelled by an ultrafilter on omega that is not nowhere dense.

Słowa kluczowe

PL

algebra Boole'a; filtr maksymalny

EN

Boolean algebra; extremally disconnected; ultrafilter

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2001
• Tom: Vol. 49, no 1
• Strony: 15--25
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Błaszczyk, A.

• Institute of Mathematics, Silesian University, ul. Bankowa 14, 40-007 Katowice, Poland,

autor

Szymański, A.

• Department of Mathematics, Slippery Rock University, Slippery Rock, PA 16057, U.S.A. ,

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