A note on the topolgy of 𝐶-convergence in hyperspaces

Morales, Pedro

doi:10.1090/S0002-9939-1975-0375207-8

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on the topolgy of $C$-convergence in hyperspaces
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Proc. Amer. Math. Soc. 52 (1975), 469-470 Request permission

Abstract:

In this note we generalize and partially correct a recent Tychonoff theorem for hyperspaces of F. A. Chimenti [1].

References

Frank A. Chimenti, Tychonoff’s theorem for hyperspaces, Proc. Amer. Math. Soc. 37 (1973), 281–286. MR 307141, DOI 10.1090/S0002-9939-1973-0307141-1
Geoffrey Fox and Pedro Morales, A general Tychonoff theorem for multifunctions, Canad. Math. Bull. 17 (1974), no. 4, 519–521. MR 375224, DOI 10.4153/CMB-1974-091-8
Ernest Michael, Topologies on spaces of subsets, Trans. Amer. Math. Soc. 71 (1951), 152–182. MR 42109, DOI 10.1090/S0002-9947-1951-0042109-4