Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
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On The Generalization of Approach Cauchy Spaces

  • Published : 2001.04.01
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Abstract

We construct several supercategories of ACHY (of approach Cauchy spaces) and AULim (of approach uniform limit spaces) and investigate the relation among them.

Keywords

References

  1. Top. Appl. v.27 The category of Cauchy spaces is cartesian closed H. L. Bentley;H. Herrlich;E. Lowen-Colebunders
  2. Math. Ann. v.173 Uniform convergence structures H. C. Cook;H. R. Fischer
  3. Mathematical Centre Tracts v.52 Topological structures H. Herrlich
  4. Comm. Math. Ann. Univ. Car. v.6 On continuity structures and spaces of mapping M. Katetov
  5. Math. Ann. v.176 Die Limes-Uniformisierbarkeit der Limesraume H. H. Keller
  6. Bull. Austrsal. Math. Soc. v.15 The category of uniform convergence spaces in cartesian closed R. S. Lee
  7. Acta Math. Hung. Approach theory in merotopic, Cauchy and convergence spaces Ⅰ Y. J. Lee;R. Lowen
  8. Acta Math. Hung. Approach theory in merotopic, Cauchy and convergence spaces Ⅱ Y. J. Lee;R. Lowen
  9. Transitivity in uniform approach theory Y. J. Lee;B. Windels
  10. Oxford Mathematical Monograph Approach spaces: the Missing Link in the Topology-Uniformity-Metric-Triad R. Lowen
  11. Can. J. Math. v.XXVII no.6 Initially structured categories and cartesian closedness L. D. Nel
  12. Q & A in General Topology v.9 Improvement of Cauchy spaces G. Preu B.
  13. Mathematical Research v.67 Semiuniformlimit spaces and semi-Cauchy spaces: Recent Development of General Topology and its Applications F. Preu B.
  14. Math. Japonica v.38 no.5 Cauchy spaces and generalizations G. Preu B
  15. Topo 72-General Topology and its Applications,(Lecture Notes in Math. 378) Filter space monads, regularity, completions O. Wyler