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Complementation in spaces of continuous functions on compact lines

✍ Scribed by Ondřej F.K. Kalenda; Wiesław Kubiś

Book ID
113721472
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
292 KB
Volume
386
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES

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✍ Sergei P. Gul'ko; Gennady A. Sokolov 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 92 KB

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