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The inverse image of a metric space under a biquotient compact mapping. (English) Zbl 0254.54010

MSC:

54E20 Stratifiable spaces, cosmic spaces, etc.
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54E35 Metric spaces, metrizability
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References:

[1] A.V. Arhangel’Skii [1] Mappings and space , Russian Math. Surveys, 21 (1966), 115-162. · Zbl 0171.43603 · doi:10.1070/rm1966v021n04ABEH004169
[2] A.V. Arhangel’Skii [2] A theorem on the metrizability of the inverse metric space under an open closed finite-to-one mapping. Example and unsolved problems , Soviet Math. Dokl., 7 (1966), 1258-1261. · Zbl 0153.52703
[3] D.K. Burke and R.A. Stoltenberg [3] A note on p-space and Moore space , Pacific J. Math. 30 (1969), 601-608. · Zbl 0183.27502 · doi:10.2140/pjm.1969.30.601
[4] R. Engelking [4] Outline of general topology , North-Holland, 1968. · Zbl 0157.53001
[5] V.V. Filippov [5] Quotient spaces and multiplicity of a base , Math. USSR Sbornik, 9 (1969), 487-496. · Zbl 0202.53801 · doi:10.1070/SM1969v009n04ABEH001291
[6] E. Michael [6] Biquotient maps and cartesian product of quotient maps , Extrait Des Ann. de l’Inst. Fourier de l’Uni. De Grenoble, 18 (1969), 287-302. · Zbl 0175.19704 · doi:10.5802/aif.301
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