✦ LIBER ✦

An analogue of the Baire category theorem

✍ Scribed by Hieronymi, Philipp

Book ID: 124069209
Publisher: Association for Symbolic Logic
Year: 2013
Tongue: English
Weight: 90 KB
Volume: 78
Category: Article
ISSN: 0022-4812
DOI: 10.2178/jsl.7801140

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The Baire Category Theorem and choice

✍ Horst Herrlich; Kyriakos Keremedis 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 95 KB

The status of the Baire Category Theorem in ZF (i.e., Zermelo-Fraenkel set theory without the Axiom of Choice) is investigated. Typical results: 1. The Baire Category Theorem holds for compact pseudometric spaces. 2. The Axiom of Countable Choice is equivalent to the Baire Category Theorem for co

On “Subcompactness and the Baire categor

On “Subcompactness and the Baire category theorem”

✍ Isidore Fleischer 📂 Article 📅 1979 🏛 Elsevier Science ⚖ 185 KB

Some weak forms of the Baire category th

Some weak forms of the Baire category theorem

✍ Kyriakos Kermedis 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 109 KB

## Abstract We show that the statement (K12) “separable, countably compact, regular spaces are Baire” is deducible from a strictly weaker form than AC, namely, CAC(ℝ) (the axiom of choice for countable families of non‐empty subsets of the real line ℝ). We also find some characterizations of the axi

A generalization of Baire's category the

A generalization of Baire's category theorem

✍ Chris Lennard 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 203 KB

Compact-like operators and the baire cat

Compact-like operators and the baire category theorem

✍ John J. Buoni; Albert Klein; Brian M. Scott; Bhushan L. Wadhwa 📂 Article 📅 1984 🏛 SP Birkhäuser Verlag Basel 🌐 English ⚖ 711 KB

Set-Valued Generalizations of Baire′s Ca

Set-Valued Generalizations of Baire′s Category Theorem

✍ P. Urbaniec 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 283 KB

We prove some generalizations of Baire's category theorem for chains of iterates of multifunctions defined on Čech-complete spaces. In particular, we extend Lennard's results stated for functions on complete metric spaces. a 1995 Academic Press. Inc.