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The hyperspace of lower semicontinuity and the first power of a topological space. (English) Zbl 0313.54004
MSC:
54A05 Topological spaces and generalizations (closure spaces, etc.)
54B20 Hyperspaces in general topology
54B10 Product spaces in general topology
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References:
[1] Čech E.: Topological spaces. Academia, Prague 1966. · Zbl 0141.39401
[2] Grimeisen G.: Gefilterte Summation von Filtern und iterierte Grenzprozesse. I. Math. Annalen 141, 318-342 (1960). · Zbl 0096.26201 · doi:10.1007/BF01360766 · eudml:160816
[3] Grimeisen G.: Gefilterte Summation von Filtern und iterierte Grenzprozesse. II. Math. Annalen 144, 386-417 (1961). · Zbl 0101.14805 · doi:10.1007/BF01396535 · eudml:160900
[4] Grimeisen G.: Zur Stufenhebung bei topologischen Räumen. Math. Annalen 147, 95-109 (1962), 148, 82 (1962). · Zbl 0118.17603 · doi:10.1007/BF01470941 · eudml:160953
[5] Grimeisen G.: Das Produkt topologischer Räume in einer Theorie der Limesräume. Math. Zeftschr. 82, 361-378 (1963). · Zbl 0201.55302 · doi:10.1007/BF01111534 · eudml:170197
[6] Grimeisen G.: Ein Produkt R-topologischer Verbände. Math. Zeitschr. 88, 309-319 (1965). · Zbl 0137.42001 · doi:10.1007/BF01111815 · eudml:170412
[7] Grimeisen G.: Topologische Räume, in denen alle Filter konvergieren. Math. Annalen 173, 241-252(1967). · Zbl 0158.20101 · doi:10.1007/BF01361715 · eudml:161611
[8] Grimeisen G.: Über die Quotiententopologie als Spur der Potenz einer Topologie. Proceedings of the Second Symp. on General Topology and its Relations to Modern Analysis and Algebra, Prague 1966, Academia, Prague 1967, 156-160. · Zbl 0171.43404
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[10] Grimeisen G.: Continuous relations. Math. Zeitschr. 127, 35-44 (1972). · Zbl 0224.54017 · doi:10.1007/BF01110102 · eudml:171751
[11] Schmidt J.: Symmetric approach to the fundamental notions of general topology. Proceedings of the Second Symp. on General Topology and its Relations to Modern Analysis and Algebra, Prague 1966, Academia, Prague 1967, 308-319.
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