Total negation under constraint: pre-anti properties

T. Brian M. McMaster; Colin R. Turner

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 2, page 367-374
  • ISSN: 0392-4041

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McMaster, T. Brian M., and Turner, Colin R.. "Total negation under constraint: pre-anti properties." Bollettino dell'Unione Matematica Italiana 3-B.2 (2000): 367-374. <http://eudml.org/doc/195608>.

@article{McMaster2000,
author = {McMaster, T. Brian M., Turner, Colin R.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {total negation of a topological property; constrained pre-anti properties},
language = {eng},
month = {6},
number = {2},
pages = {367-374},
publisher = {Unione Matematica Italiana},
title = {Total negation under constraint: pre-anti properties},
url = {http://eudml.org/doc/195608},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - McMaster, T. Brian M.
AU - Turner, Colin R.
TI - Total negation under constraint: pre-anti properties
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/6//
PB - Unione Matematica Italiana
VL - 3-B
IS - 2
SP - 367
EP - 374
LA - eng
KW - total negation of a topological property; constrained pre-anti properties
UR - http://eudml.org/doc/195608
ER -

References

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  1. BANKSTON, P., The total negation of a topological property, Illinois J. Math., 23 (1979), 241-252. Zbl0405.54003MR528560
  2. GINSBURG, J.- SANDS, B., Minimal infinite topological spaces, Amer. Math. Monthly, 86 (1979), 574-576. Zbl0422.54002MR542770
  3. MATIER, J.- MCMASTER, T. B. M., Iteration of Bankston's «anti»-operation, J. Inst. Math. Comp. Sci., 3 (1990), 31-35. Zbl0843.54002MR1045755
  4. MATIER, J.- MCMASTER, T. B. M., Total negations of hereditary properties, Rend. Circ. Mat. Palermo (2), 29 (1992), 563-573. Zbl0770.54004MR1197194
  5. MATIER, J.- MCMASTER, T. B. M., Iteration of the «anti» operation in ordered topological spaces and in other categorical contexts, Boll. U.M.I., (7) 7-B (1993), 369-378. Zbl0783.54014MR1223647
  6. MATIER, J.- MCMASTER, T. B. M., Total negation in general topology, Irish Math. Soc. Bull., 25 (1990), 26-37. Zbl0743.54002MR1146088
  7. MATTHEWS, P. T., Quasi-order in relation to the total negation operator, Ph.D. thesis, Queen's University, Belfast (1994). MR2714833
  8. MATTHEWS, P. T.- MCMASTER, T. B. M., Minimal spaces, maximal pre-antis, Rend. Ist. Mat. Univ. Trieste, 25 (1993), 353-361. Zbl0832.54001MR1346332
  9. MCMASTER, T. B. M.- TURNER, C. R., Constrained total negation and its iteration, submitted to Proc. Royal Irish Acad. Zbl1010.54001
  10. MCMASTER, T. B. M.- TURNER, C. R., Functional equations in total negation, to appear in J. Austral. Math. Soc. Zbl0985.54003MR1753362
  11. REILLY, I. L.- VAMANAMURTHY, M. K., Some topological anti-properties, Illinois J. Math., 24 (1980), 382-389. Zbl0411.54001MR573473
  12. TURNER, C. R., Total negation of topological properties in constrained environments, Ph.D. thesis, Queen's University, Belfast (1997). MR2715141

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