Relatively maximal convergences

Szymon Dolecki; Michel Pillot

Bollettino dell'Unione Matematica Italiana (1998)

  • Volume: 1-B, Issue: 3, page 699-704
  • ISSN: 0392-4041

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Dolecki, Szymon, and Pillot, Michel. "Relatively maximal convergences." Bollettino dell'Unione Matematica Italiana 1-B.3 (1998): 699-704. <http://eudml.org/doc/194937>.

@article{Dolecki1998,
author = {Dolecki, Szymon, Pillot, Michel},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {-maximal convergence; -quotient map; pseudotopology; pretopology; adherence of a filter},
language = {eng},
month = {10},
number = {3},
pages = {699-704},
publisher = {Unione Matematica Italiana},
title = {Relatively maximal convergences},
url = {http://eudml.org/doc/194937},
volume = {1-B},
year = {1998},
}

TY - JOUR
AU - Dolecki, Szymon
AU - Pillot, Michel
TI - Relatively maximal convergences
JO - Bollettino dell'Unione Matematica Italiana
DA - 1998/10//
PB - Unione Matematica Italiana
VL - 1-B
IS - 3
SP - 699
EP - 704
LA - eng
KW - -maximal convergence; -quotient map; pseudotopology; pretopology; adherence of a filter
UR - http://eudml.org/doc/194937
ER -

References

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  1. CHOQUET, G., Convergences, Ann. Univ. Grenoble, 23 (1947-48), 55-112. Zbl0031.28101MR25716
  2. DOLECKI, S., Convergence-theoretic methods in quotient quest., Topology Appl., 73 (1996), 1-21. Zbl0862.54001MR1413721
  3. DOLECKI, S.- GRECO, G. H., Topologically maximal pretopologies, Studia Math., 77 (1984), 265-281. Zbl0487.54003MR745283
  4. DOLECKI, S.- PILLOT, M., Topologically maximal convergences and types of accessibility, submitted (1996). Zbl0857.54001
  5. KANNAN, V., Ordinal invariants in topology, Memoirs Amer. Math. Soc., 32, No. 245 (1981), 1-164. Zbl0473.54001MR617500
  6. KENT, D. C., Convergence quotient maps, Fund. Math., 65 (1969), 197-205. Zbl0179.51002MR250258
  7. SIWIEC, F., Sequence-covering and countably bi-quotient mappings, Gen. Topology Appl., 1 (1971), 143-154. Zbl0218.54016MR288737
  8. WHYBURN, G. T., Mappings on inverse sets, Duke Math. J., 23 (1956), 237-240. Zbl0071.38201MR98361
  9. WHYBURN, G. T., Accessibility spaces, Proc. Amer. Math. Soc., 24 (1970), 181-185. Zbl0197.48602MR248722

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