|
|||||
|
|
|
|
|
|
|
|
|
The product of
F-spaces with P-spaces
Neil Hindman |
|
Vol. 47 (1973), No. 2, 473–480
|
Abstract |
|
A condition on a basically disconnected space X is known which is necessary and sufficient for the product space X × Y to be basically disconnected for every P-space Y . This same condition, when applied to an Ff-space X, guarantees that x × Y is an F’-space whenever Y is a P-space and is necessary for this result. The principal result of this paper establishes that this condition is not sufficient when applied to F-spaces. A condition which is sufficient but not necessary is also derived. |
Mathematical Subject Classification 2000
Primary: 54C30
Secondary: 54B10
|
Milestones
Received: 30 June 1972
Published: 1 August 1973
|
Authors |
| Neil Hindman | |
|
