Sequential Cauchy spaces

James M. Irwin; Darrell C. Kent

Mathematica Slovaca (1979)

  • Volume: 29, Issue: 2, page 117-130
  • ISSN: 0232-0525

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Irwin, James M., and Kent, Darrell C.. "Sequential Cauchy spaces." Mathematica Slovaca 29.2 (1979): 117-130. <http://eudml.org/doc/31763>.

@article{Irwin1979,
author = {Irwin, James M., Kent, Darrell C.},
journal = {Mathematica Slovaca},
keywords = {sequential cauchy spaces; Ul space; nearness relation between sequences; continuous real-valued functions; C-embedding; completion},
language = {eng},
number = {2},
pages = {117-130},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Sequential Cauchy spaces},
url = {http://eudml.org/doc/31763},
volume = {29},
year = {1979},
}

TY - JOUR
AU - Irwin, James M.
AU - Kent, Darrell C.
TI - Sequential Cauchy spaces
JO - Mathematica Slovaca
PY - 1979
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 29
IS - 2
SP - 117
EP - 130
LA - eng
KW - sequential cauchy spaces; Ul space; nearness relation between sequences; continuous real-valued functions; C-embedding; completion
UR - http://eudml.org/doc/31763
ER -

References

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  1. COOK C. H., FISCHER H. R., Uniform convergence structures, Math. Ann., 173, 1967, 290-306. (1967) Zbl0166.18702MR0217756
  2. FRIČ R., On the sequential uniform stгuctures of A. Goetz, Topology and its Appl., Budva 1972, Beograd 1973, 90-93. (1972) MR0341418
  3. FRIČ R., On the completion of sequential structures, Topology and its Appl., Budva 1972, Beograd 1973, 94-96. (1972) MR0341419
  4. FRIČ R., McKENNON K., RICHARDSON G., Sequential conveгgence in C(X), (To appear.) 
  5. GAZIK R. J., KENT D. С, Regulaг completions of Сauchy spaces via function algebгas, Bull. Austral. Math. Soc., 11, 1974, 77-88. (1974) MR0353232
  6. GOETZ A., A notion of uniformity for L-spaces of Fгéchet, Сolloq. Math., 9, 1962, 223-231. (1962) MR0142098
  7. GOETZ A., Proximity-like structures in convergence spaces, Topology Сonf., 1967, Arizona State University, Tempe 1968, 104-137. (1967) 
  8. KENT D. С., RIСHARDSON G. D., Regular completions of Сauchy spaces, Pacific J. Math., 51, 1974, 483-490. (1974) MR0390989
  9. KOUTNÍK V., Sequential envelopes and completeness, Proc I. Internat. Sympos. on Extension Theoгy of Topological Structuгes, Berlin 1967, Beгlin 1969, 141-143. (1967) 
  10. NOVÁK J., On convergence spaces and their sequential envelopes, Сzechoslovak Math. J., 15, 1965, 74-100. (1965) MR0175083
  11. POLJAKOV V. Z., On uniform conveгgence spaces (Russ.), Сolloq. Math., 13, 1965, 167-179. (1965) MR0226577
  12. RAMALEY J. F., WYLER O., Сauchy spaces II, Regular completions and compactifications, Math. Ann., 187, 1970, 187-199. (1970) MR0266142
  13. REED E. E., Сompletions of uniform convergence spaces, Math. Ann., 194, 1971, 83-108. (194,) MR0292021
  14. RIСHARDSON G. D., Sequential convergence in C(X), Notices Amer. Math. Soc., 22, 1975, A-177. (1975) 

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