Proximal set-open topologies

Anna Di Concilio; Som Naimpally

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 1, page 173-191
  • ISSN: 0392-4041

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Di Concilio, Anna, and Naimpally, Som. "Proximal set-open topologies." Bollettino dell'Unione Matematica Italiana 3-B.1 (2000): 173-191. <http://eudml.org/doc/196087>.

@article{DiConcilio2000,
author = {Di Concilio, Anna, Naimpally, Som},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {proximal set-open topology; proximity; function space},
language = {eng},
month = {2},
number = {1},
pages = {173-191},
publisher = {Unione Matematica Italiana},
title = {Proximal set-open topologies},
url = {http://eudml.org/doc/196087},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Di Concilio, Anna
AU - Naimpally, Som
TI - Proximal set-open topologies
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/2//
PB - Unione Matematica Italiana
VL - 3-B
IS - 1
SP - 173
EP - 191
LA - eng
KW - proximal set-open topology; proximity; function space
UR - http://eudml.org/doc/196087
ER -

References

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  2. BUCHWALTER, H., Parties bornées d'un éspaces topologique complétement regulier, Sém. Choquet, 9e année, n. 14 (1970). Zbl0213.39604MR286066
  3. DI CONCILIO, A.- DI MAIO, G.- RUSSO, A., Su alcune topologie degli spazi di funzioni, con particolare riguardo alla topologia di Whitney, Rend. Accad. Scienze Fis. Mat. Napoli, 49 (1982), 9-16. Zbl0594.54015MR707831
  4. DI MAIO, G.- HOLA, L.- HOLY, D.- MCCOY, R. A., Topologies on the space of continuous functions (to appear). Zbl0940.54023MR1621396
  5. DI MAIO, G.- NAIMPALLY, S. A., Proximal graph topologies, Q & A in Gen. Top., 10 (1992), 97-125. Zbl0802.54009
  6. HANSARD, J., Function space topologies, Pacific J. Math., 35 (1970), 381-388. Zbl0185.50602MR276917
  7. HARRIS, D., Regular-closed spaces and proximities, Pacific J. Math., 34 (1970), 675-685. Zbl0192.59602MR284974
  8. KRIKORIAN, N., A note concerning the fine topology on function spaces, Compositio Math., 21 (1969), 343-348. Zbl0188.19102MR261544
  9. KUNDU, S.- RAHA, A. B., The bounded-open topology and its relatives, Rend. Ist. Mat. Univ. Trieste, 27 (1995), 61-77. Zbl0870.54014MR1421048
  10. LEADER, S., On completion of proximity spaces by local clusters, Fund. Math., 48 (1960), 201-216. Zbl0095.37202MR113209
  11. MCCOY, R. A.- NTANTU, I., Topological properties of spaces of continuous functions, Lecture Notes in Math., Springer-Verlag (1988). Zbl0647.54001MR953314
  12. MCCOY, R. A.- NTANTU, I., Completeness properties of function spaces, Top. and Appl., 22 (1986), 191-206. Zbl0621.54011MR836326
  13. NACHMANN, L., On a conjecture of Leader, Fund. Math., 65 (1969), 153-155. Zbl0181.25604MR251693
  14. NAIMPALLY, S. A., Graph topology for function spaces, Trans. Amer. Math. Soc., 123 (1966), 267-272. Zbl0151.29703MR192466
  15. NAIMPALLY, S. A.- WARRACK, B. D., Proximity spaces, Cambridge University Press (1970). Zbl0206.24601MR278261
  16. WILLIAMS, J., Locally uniform spaces, Trans. Amer. Math. Soc., 168 (1972), 435-469. Zbl0221.54022MR296891

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