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Ramaley, J. F.; Wyler, Oswald

Cauchy spaces. II: Regular completions and compactifications. (English) Zbl 0195.24402

Math. Ann. 187, 187-199 (1970).
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Cited in 9 Documents

MSC:

54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
54E15 Uniform structures and generalizations
54B30 Categorical methods in general topology
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)

Keywords:

topology; convergence spaces; Cauchy filters

Citations:

Zbl 0155.503
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Full Text: DOI EuDML

References:

[1] Biesterfeldt, H. J.: Completion of a class of uniform convergence spaces. Indag. Math.28, 602-604 (1966). · Zbl 0178.56401
[2] ?? Regular convergence spaces. Indag. Math.28, 605-607 (1966). · Zbl 0178.56402
[3] Cochran, A.: On uniform convergence structures and convergence spaces. Doctoral dissertation, University of Oklahoma, 1966.
[4] Cook, C. H., Fischer, H. R.: Uniform convergence structures. Math. Ann.173, 290-306 (1967). · Zbl 0166.18702 · doi:10.1007/BF01781969
[5] ?? ?? Regular convergence structures. Math. Ann.174, 1-7 (1967). · Zbl 0152.39603 · doi:10.1007/BF01363119
[6] Fleischer, I.: Iterated families. Colloq. Math.15, 235-241 (1966). · Zbl 0147.22501
[7] Keller, H. H.: Die Limes-Uniformisierbarkeit der Limesräume. Math. Ann.176, 334-341 (1968). · Zbl 0155.50302 · doi:10.1007/BF02052894
[8] Kowalsky, H.-J.: Limesräume und Komplettierung. Math. Nachr.12, 301-340 (1954). · Zbl 0056.41403 · doi:10.1002/mana.19540120504
[9] Pervin, W. J., Biesterfeldt, H. J.: Uniformization of convergence spaces II. Math. Ann.177, 43-48 (1968). · Zbl 0155.50402 · doi:10.1007/BF01350728
[10] Ramaley, J. F.: Completion and compactification functors for Cauchy spaces. Doctoral dissertation, University of New Mexico, 1967.
[11] ?? Wyler, O.: Cauchy spaces I. Structure and uniformization theorems. Math. Ann.187, 175-186 (1970). · Zbl 0195.24403 · doi:10.1007/BF01432251
[12] Wyler, O.: Ein Komplettierungsfunktor für uniforme Limesräume. To appear in Math. Nachr. · Zbl 0207.52603
[13] – On categories in general topology. Dept. of Math., Carnegie Institute of Technology, Report 67-10, March 1967.
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