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On the small diagonals. (English) Zbl 0495.54028


MSC:

54E45 Compact (locally compact) metric spaces
54A35 Consistency and independence results in general topology
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
Full Text: DOI

References:

[1] Arhangel’skii, A., Construction and classification of topological spaces and cardinal invariants, YMH, 33, 29-84 (1978) · Zbl 0414.54002
[2] Burke, D. K., A nondevelopable locally compact Hausdorff space with a \(G_δ\)-diagonal, General Topology Appl., 2, 287-291 (1972) · Zbl 0243.54017
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[10] Juhász, I., Consistency results in topology, (Barwise, J., Handbook of Mathematical Logic (1977), North-Holland: North-Holland Amsterdam), 503-522
[11] Hus̀ek, M., Topological spaces without ℵ-accessible diagonal, Comm. Math. Univ. Carolinae, 18, 777-788 (1977) · Zbl 0374.54035
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[13] Popov, V., A perfect map need not preserve a \(G_δ\)-diagonal, General Topology Appl., 7, 31-33 (1977) · Zbl 0343.54035
[14] Tall, F., Some applications of small cardinal collapse in topology, Proc. Budapest Top. Conf. (1978), to appear in · Zbl 0439.54008
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