On minimal Hausdorff and minimal Urysohn functions
Filippo Cammaroto; Andrei Catalioto; Jack Porter
Open Mathematics (2011)
- Volume: 9, Issue: 6, page 1242-1251
- ISSN: 2391-5455
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topFilippo Cammaroto, Andrei Catalioto, and Jack Porter. "On minimal Hausdorff and minimal Urysohn functions." Open Mathematics 9.6 (2011): 1242-1251. <http://eudml.org/doc/269017>.
@article{FilippoCammaroto2011,
abstract = {In this article, we extend the work on minimal Hausdorff functions initiated by Cammaroto, Fedorchuk and Porter in a 1998 paper. Also, minimal Urysohn functions are introduced and developed. The properties of heredity and productivity are examined and developed for both minimal Hausdorff and minimal Urysohn functions.},
author = {Filippo Cammaroto, Andrei Catalioto, Jack Porter},
journal = {Open Mathematics},
keywords = {P-function; Product function; H-closed function; U-closed function; Minimal Hausdorff function; Minimal Urysohn function; Hereditary and productive properties; -function; product function; -closed function; -closed function; minimal Hausdorff function; minimal Urysohn function; hereditary and productive properties},
language = {eng},
number = {6},
pages = {1242-1251},
title = {On minimal Hausdorff and minimal Urysohn functions},
url = {http://eudml.org/doc/269017},
volume = {9},
year = {2011},
}
TY - JOUR
AU - Filippo Cammaroto
AU - Andrei Catalioto
AU - Jack Porter
TI - On minimal Hausdorff and minimal Urysohn functions
JO - Open Mathematics
PY - 2011
VL - 9
IS - 6
SP - 1242
EP - 1251
AB - In this article, we extend the work on minimal Hausdorff functions initiated by Cammaroto, Fedorchuk and Porter in a 1998 paper. Also, minimal Urysohn functions are introduced and developed. The properties of heredity and productivity are examined and developed for both minimal Hausdorff and minimal Urysohn functions.
LA - eng
KW - P-function; Product function; H-closed function; U-closed function; Minimal Hausdorff function; Minimal Urysohn function; Hereditary and productive properties; -function; product function; -closed function; -closed function; minimal Hausdorff function; minimal Urysohn function; hereditary and productive properties
UR - http://eudml.org/doc/269017
ER -
References
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- [2] Cammaroto F., Catalioto A., Porter J.R., On H-closed and U-closed functions (submitted) Zbl1274.54042
- [3] Cammaroto F., Fedorcuk V.V., Porter J.R., H-closed functions, Comment. Math. Univ. Carolin., 1998, 39(3), 563–572 Zbl0962.54011
- [4] Cammaroto F., Nordo G., On Urysohn, almost regular and semiregular functions, Filomat, 1994, 8, 71–80 Zbl0822.54007
- [5] Engelking R., General Topology, Sigma Ser. Pure Math., 6, Heldermann, Berlin, 1989
- [6] Herrlich H., T v-Abgeschlossenheit und T v-Minimalität, Math. Z., 1965, 88(3), 285–294 http://dx.doi.org/10.1007/BF01111687
- [7] Katětov M., Über H-abgeschlossene und bikompakte Räume, Časopis Pěst. Mat. Fys., 1940, 69, 36–49
- [8] Nordo G., On product of P-functions, Atti Accad. Peloritana Pericolanti Cl. Sci. Fis. Mat. Natur., 1994, 72, 465–478
- [9] Pasynkov B.A., Extension to mappings of certain notions and assertions concerning spaces, In: Mappings and Functors, Moscow State University, Moscow, 1984, 72–102 (in Russian)
- [10] Porter J.R., Woods R.G., Extensions and Absolutes of Hausdorff Spaces, Springer, New York, 1988 http://dx.doi.org/10.1007/978-1-4612-3712-9
- [11] Stephenson R.M. Jr., Product of minimal Urysohn spaces, Duke Math. J., 1971, 38(4), 703–707 http://dx.doi.org/10.1215/S0012-7094-71-03885-3 Zbl0213.49401
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