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Tight points and countable fan-tightness

✍ Scribed by Angelo Bella; Jan van Mill


Book ID
104295178
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
422 KB
Volume
76
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

✦ Synopsis


The countable spaces whose product with the sequential fan S, have countable tightness are characterized.

As a consequence. it is shown that if ?l x S, has countable tightness then X has countable fan-tightness.


πŸ“œ SIMILAR VOLUMES


Remarks on countable tightness
✍ Scheepers, Marion πŸ“‚ Article πŸ“… 2014 πŸ› Elsevier Science 🌐 English βš– 450 KB
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✍ A. Bella; V.I. Malykhin πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 557 KB

We present three examples of countable spaces with a single nonisolated point. The first gives, assuming CH, a FrCchet-Urysohn tight point which does not have countable absolute tightness; the second, constructed with the help of o, gives a tight non-weakly Frkchet-Urysohn point without countable ab

On the Countable Tightness of Product Sp
✍ Chuan Liu; Shou Lin πŸ“‚ Article πŸ“… 2005 πŸ› Institute of Mathematics, Chinese Academy of Scien 🌐 English βš– 183 KB