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Cauchy sequences in quasi-pseudo-metric spaces. (English) Zbl 0472.54018


MSC:

54E52 Baire category, Baire spaces
54E50 Complete metric spaces
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References:

[1] Albert, G. E.: A note on quasi-metric spaces. Bull. Amer. Math. Soc.47, 479-482 (1941). · JFM 67.0758.01 · doi:10.1090/S0002-9904-1941-07487-2
[2] Balanzat, M.: Sobre la metrización de los espacios cuasi métricos. Gaz. Mat. Lisboa50, 91-94 (1951).
[3] di Concilio, A.: Spazi quasimetrici e topologie ad essi associate. Rend. Fis. Mat. Napoli38, 113-130 (1971). · Zbl 0327.54029
[4] Domiaty, R. Z.: The Hausdorff separation property for space-time. Eleftheria (Athens). (In print.)
[5] Domiaty, R. Z.: Life withoutT 2. Differential-Geometric Methods in Theoretical Physics. Conf. Clausthal-Zellerfeld (FRG), July 1978. Lecture Notes Physics. Berlin-Heidelberg-New York: Springer. 1980.
[6] Dutta, M., Das, M. K., Majumdar, M.: On some generalization of fixed point theorems with applications in operator equations. Glasnik Mat.9(29), 155-159 (1974). · Zbl 0287.65038
[7] Fletcher, P., Lindgren, W. F.: Transitive quasi-uniformities. J. Math. Anal. Appl.39, 397-405 (1972). · doi:10.1016/0022-247X(72)90210-7
[8] Heath, R. W.: A note on quasi-metric spaces. Notices Amer. Math. Soc.18, 786 (1971).
[9] Kelly, J. C.: Bitopological spaces. Proc. London Math. Soc.13, 71-89 (1963). · Zbl 0107.16401 · doi:10.1112/plms/s3-13.1.71
[10] Kofner, J. A.: On ?-metrizable spaces. Mat. Zametki13, 277-287 (1972).
[11] Nedev, S. I., Choban, M. M.: On the theory of 0-metrizable spaces, I, II, III. Vestnik Moskov. Univ. Ser. I Mat. Meh.27, # 1, 8-15; # 2, 10-17; # 3, 10-15 (1972). · Zbl 0242.54029
[12] Patty, C. W.: Bitopological spaces. Duke Math. J.34, 387-391 (1967). · Zbl 0153.24301 · doi:10.1215/S0012-7094-67-03442-4
[13] Reilly, I. L.: Quasi-gauge spaces. J. London Math. Soc. (2)6, 481-487 (1973). · Zbl 0257.54034 · doi:10.1112/jlms/s2-6.3.481
[14] Reilly, I. L.: A generalized contraction principle. Bull. Austral. Math. Soc.10, 359-363 (1974). · Zbl 0278.54046 · doi:10.1017/S0004972700041046
[15] Ribeiro, H.: Sur les espaces à métrique faible. Portugaliae Math.4, 21-40 (1943). · Zbl 0028.19103
[16] Sion, M., Zelmer, G.: On quasi-metrizability. Canad. J. Math.19, 1243-1249 (1967). · Zbl 0164.53202 · doi:10.4153/CJM-1967-113-1
[17] Stoltenberg, R. A.: On quasi-metric spaces. Duke Math. J.36, 65-71 (1969). · Zbl 0176.51902 · doi:10.1215/S0012-7094-69-03610-2
[18] Subrahmanyam, P. V.: Remarks on some fixed point theorems related to Banach’s contraction principle. J. Math. Phys. Sci.8, 455-457 (1974). · Zbl 0294.54033
[19] Tan, K. K.: Fixed point theorems for nonexpansive mappings. Pac. J. Math.41, 829-842 (1972). · Zbl 0222.54056
[20] Waterman, M. S., Smith, T. F., Beyer, W. A.: Some biological sequence metrics. Advances Math.20, 367-387 (1976). · Zbl 0342.92003 · doi:10.1016/0001-8708(76)90202-4
[21] Wilson, W. A.: On quasi-metric spaces. Amer. J. Math.53, 675-684 (1931). · Zbl 0002.05503 · doi:10.2307/2371174
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