|
|||||
|
|
|
|
|
|
|
|
|
S-spaces in countably compact spaces using
Ostaszewski’s method
John Norman Ginsburg |
|
Vol. 68 (1977), No. 2, 393–397
|
Abstract |
|
A method adapted from that used by A. J. Ostaszewski is used to construct S-spaces as subspaces of given spaces. Assuming the set-theoretic principle ◇, it is shown that every countably compact space containing no nontrivial convergent sequences contains a perfect S-space. As a corollary, assuming ◇, if X is a countably compact F-space, then X contains a hereditarily extremally disconnected, hereditarily normal, perfect S-space. |
Mathematical Subject Classification 2000
Primary: 54G05
|
Milestones
Received: 29 November 1976
Revised: 19 January 1977
Published: 1 February 1977
|
Authors |
| John Norman Ginsburg | |
|
