For compacta X and Y , let SC p (X × Y ) be the space of all separately continuous functions on the product X × Y with the topology of pointwise convergence. We prove that any compact subspace Z in SC p (X × Y ) is a Corson compactum in the case where X or Y is ccc (= has the Souslin property). We s
✦ LIBER ✦
P-points in N∗ and the spaces of continuous functions
✍ Scribed by S.P. Gul'ko; G.A. Sokolov
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 393 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
✦ Synopsis
It is proved that a point 4 from the Tech-Stone remainder N* is a P-point iff C,(N$) is a hereditary Baire space, where II4 = N U (4;). S ome characterizations of P-points in terms of games played in FY4 and C*(W,) are also given.
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