𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Weakly Fréchet–Urysohn and Pytkeev spaces

✍ Scribed by V.I. Malykhin; G. Tironi

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
94 KB
Volume
104
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

✦ Synopsis

We study a new pointwise topological property, the weak Fréchet-Urysohn property, introduced by Reznichenko. We also study the property introduced by Pytkeev in 1983. It is proved that sequentiality is strictly stronger than the Pytkeev property, which is strictly stronger than the wFU property, which is strictly stronger than countable tightness. However we prove that a countably tight compact Hausdorff space is Pytkeev. The above properties are used to detect some non-subsequential spaces.

📜 SIMILAR VOLUMES

Web-compact spaces, Fréchet-Urysohn grou
Web-compact spaces, Fréchet-Urysohn groups and a Suslin closed graph theorem
✍ J. C. Ferrando; Jerzy Ka̧kol; M. López Pellicer; W. Śliwa 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 148 KB

A topological space X is strongly web-compact if X admits a family Aα : α ∈ N N of relatively countably compact sets covering X and such that Aα ⊂ A β for α ≤ β. The main result of this paper states the following: Theorem A Let X and Y be topological groups and f a homomorphism between X and Y with

Perfect Fréchet Spaces
Perfect Fréchet Spaces
✍ Ed Dubinsky 📂 Article 📅 1967 🏛 Springer 🌐 English ⚖ 609 KB