Metrizability of decomposition spaces

Metrizability of decomposition spaces
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by A. H. Stone

Proc. Amer. Math. Soc. 7 (1956), 690-700

DOI: https://doi.org/10.1090/S0002-9939-1956-0087078-6

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References

Paul Alexandroff, Über die Metrisation der im Kleinen kompakten topologischen Räume, Math. Ann. 92 (1924), no. 3-4, 294–301 (German). MR 1512216, DOI 10.1007/BF01448011

Topologie

A. H. Frink, Distance functions and the metrization problem, Bull. Amer. Math. Soc. 43 (1937), no. 2, 133–142. MR 1563501, DOI 10.1090/S0002-9904-1937-06509-8
Sitiro Hanai, On closed mappings, Proc. Japan Acad. 30 (1954), 285–288. MR 64390
Abram V. Martin, Decompositions and quasi-compact mappings, Duke Math. J. 21 (1954), 463–469. MR 62427
Jun-iti Nagata, On a necessary and sufficient condition of metrizability, J. Inst. Polytech. Osaka City Univ. Ser. A 1 (1950), 93–100. MR 43448
I. A. Vaiĭnšteĭn, On closed mappings of metric spaces, Doklady Akad. Nauk SSSR (N.S.) 57 (1947), 319–321 (Russian). MR 0022067
A. D. Wallace, Some characterizations of interior transformations, Amer. J. Math. 61 (1939), 757–763. MR 179, DOI 10.2307/2371332
Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, Vol. 28, American Mathematical Society, New York, 1942. MR 0007095
G. T. Whyburn, Open and closed mappings, Duke Math. J. 17 (1950), 69–74. MR 31713
Wallace Alvin Wilson, On Semi-Metric Spaces, Amer. J. Math. 53 (1931), no. 2, 361–373. MR 1506824, DOI 10.2307/2370790