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2004 | 183 | 2 | 91-108
Tytu艂 artyku艂u

Is 饾摕(蠅) a subalgebra?

Tre艣膰 / Zawarto艣膰
Warianty tytu艂u
J臋zyki publikacji
EN
Abstrakty
EN
We consider the question of whether 饾挮(蠅) is a subalgebra whenever it is a quotient of a Boolean algebra by a countably generated ideal. This question was raised privately by Murray Bell. We obtain two partial answers under the open coloring axiom. Topologically our first result is that if a zero-dimensional compact space has a zero-set mapping onto 尾鈩, then it has a regular closed zero-set mapping onto 尾鈩. The second result is that if the compact space has density at most 蠅鈧, then it will map onto 尾鈩 if it contains a zero-set that maps onto 尾鈩.
S艂owa kluczowe
Rocznik
Tom
183
Numer
2
Strony
91-108
Opis fizyczny
Daty
wydano
2004
Tw贸rcy
autor
  • Department of Mathematics, UNC-Charlotte, 9201 University City Blvd., Charlotte, NC 28223-0001, U.S.A.
autor
  • Department of Mathematics and Statistics, York University, 4700 Keele Street, North York, Ontario, Canada, M3J 1P3
  • Matematicki Institut, Kneza Mihaila 35, Beograd, Serbia and Montenegro
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-fm183-2-1
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