Function space topologies deriving from hypertopologies and networks

A. Di Concilio; A. Miranda

Bollettino dell'Unione Matematica Italiana (2001)

  • Volume: 4-B, Issue: 2, page 457-471
  • ISSN: 0392-4041

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Di Concilio, A., and Miranda, A.. "Function space topologies deriving from hypertopologies and networks." Bollettino dell'Unione Matematica Italiana 4-B.2 (2001): 457-471. <http://eudml.org/doc/195212>.

@article{DiConcilio2001,
author = {Di Concilio, A., Miranda, A.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {457-471},
publisher = {Unione Matematica Italiana},
title = {Function space topologies deriving from hypertopologies and networks},
url = {http://eudml.org/doc/195212},
volume = {4-B},
year = {2001},
}

TY - JOUR
AU - Di Concilio, A.
AU - Miranda, A.
TI - Function space topologies deriving from hypertopologies and networks
JO - Bollettino dell'Unione Matematica Italiana
DA - 2001/6//
PB - Unione Matematica Italiana
VL - 4-B
IS - 2
SP - 457
EP - 471
LA - eng
UR - http://eudml.org/doc/195212
ER -

References

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  1. ARENS, R.- DUGUNDJI, J., Topologies for function spaces, Pacific J. Math., 1 (1951), 5-31. Zbl0044.11801MR43447
  2. BEER, G.- HIMMELBERG, C. J.- PRIKRY, K.- VAN VLECK, F. S., The locally finite topology on 2 X , Proc. Amer. Math. Soc., 101 (1987), 168-172. Zbl0625.54013MR897090
  3. BEER, G.- DI CONCILIO, A., Uniform continuity on bounded sets and the Attouch-Wets topology, Proc. Amer. Math. Soc., 112 (1991), 235-243. Zbl0677.54007MR1033956
  4. BEER, G.- DI CONCILIO, A., A generalization of boundedly compact metric spaces, Comment. Math. Univ. Carolinae, 32-2 (1991), 361-367. Zbl0766.54028MR1137797
  5. BEER, G., Topologies on closed and closed convex sets, Kluwer Academic Publishers1993. Zbl0792.54008MR1269778
  6. DI CONCILIO, A.- NAIMPALLY, S., Proximal set-open topologies, Boll. Un. Mat. Ital., 8, 1-B (2000), 173-191. Zbl0942.54012MR1755708
  7. KUNDU, S.- RAHA, A. B., The bounded-open topology and its relatives, Rend. Istit. Mat. Univ. Trieste, 27 (1995), 61-77. Zbl0870.54014MR1421048
  8. MC COY, R. A.- NTANTU, I., Topological properties of spaces of continuous functions, L.N.M1315, Springer-Verlag, Berlin, 1988. Zbl0647.54001MR953314
  9. MICHAEL, E., Topologies on spaces of subsets, Trans. Amer. Math. Soc., 71 (1951), 152-182. Zbl0043.37902MR42109
  10. NAIMPALLY, S. A.- SHARMA, P. L., Fine uniformity and the locally finite topology, Proc. Amer. Math. Soc., 103 (1988), 641-646. Zbl0655.54008MR943098

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