Prime extensions and nearness structures

John W. Carlson

Commentationes Mathematicae Universitatis Carolinae (1980)

  • Volume: 021, Issue: 4, page 663-677
  • ISSN: 0010-2628

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Carlson, John W.. "Prime extensions and nearness structures." Commentationes Mathematicae Universitatis Carolinae 021.4 (1980): 663-677. <http://eudml.org/doc/17069>.

@article{Carlson1980,
author = {Carlson, John W.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {ultrafilter generated nearness space; ultrafilter completion; prime extension; Cech-Stone compactification},
language = {eng},
number = {4},
pages = {663-677},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Prime extensions and nearness structures},
url = {http://eudml.org/doc/17069},
volume = {021},
year = {1980},
}

TY - JOUR
AU - Carlson, John W.
TI - Prime extensions and nearness structures
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1980
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 021
IS - 4
SP - 663
EP - 677
LA - eng
KW - ultrafilter generated nearness space; ultrafilter completion; prime extension; Cech-Stone compactification
UR - http://eudml.org/doc/17069
ER -

References

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  1. B. BANASCHEWSKI, Extensions of topological spaces, Can. Math. Bull. 7 (1964), 1-22. (1964) Zbl0121.17304MR0161293
  2. N. BOURBAKI, Topologie generale, Act. Sci. ind., Hermann et Co., Paris 1948. (1948) Zbl0031.05502MR0027138
  3. H. L. BENTLEY, Nearness spaces and extensions of topological spaces, Studies in Topology, N. Stavrakas and K. Allen, Ed., Academic Press, New York (1957), 47-66. (1957) MR0380738
  4. H. L. BENTLEY H. HERRLICH, Extensions of topological spaces, Topological Proc, Memphis State Univ. Conference, Marcel-Dekker, New tork. (1976), 120-184. (1976) MR0433392
  5. H. L. BENTLEY H. HERRLICH, Completion as reflection, Comment. Math. Univ. Carolinae 19 (1978), 541-568. (1978) MR0508960
  6. H. L. BENTLEI H. HERRLICH W. A. ROBINSON, Convenient categories for topologists, Comment. Math. Univ. Carolinae 17 (1976), 207-227. (1976) MR0425890
  7. J. W. CARLSON, Topological properties in nearness spaces, Gen. Topi. Appl., 8 (1978), 111-118. (1978) Zbl0387.54012MR0467685
  8. J. W. CARISON, H-closed and countahfy compact extensions, Pacific J. Math. 81 (1979), 317-326. (1979) MR0547602
  9. J. W. CARISON, An ultrafilter completion for a nearness space, Can. Math. Bull, to appear. MR0611203
  10. Z. FROLÍK, Prime filters with CIP, Comment. Math. Univ. Carolinae 13 (1972), 553-575. (1972) MR0315648
  11. H. HERRLICH, A concept of nearness, Gen. Top. Appl. 5 (1974), 191-212. (1974) Zbl0288.54004MR0350701
  12. H. HERRLICH, Topological structures, Mathematical Centre Tracts 52, Amsterdam, 1974. (1974) Zbl0311.54003MR0358706
  13. M. KATĚTOV, On continuity structures and spaces of mapings, Comment. Math. Univ. Carolinae 6 (1965), 257-278. (1965) MR0193608

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