On trivially semi-metrizable and D-completely regular mappings

F. Cammaroto; G. Nordo; B. A. Pasynkov

Bollettino dell'Unione Matematica Italiana (2002)

  • Volume: 5-B, Issue: 1, page 197-203
  • ISSN: 0392-4041

Abstract

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Trivially symmetrizable, trivially semi-metrizable and trivially D-completely regular mappings are defined. They are characterized as mappings parallel to symmetrizable, semi-metrizable and D-completely regular spaces correspondently. One shows that trivially D-completely regular mappings, i.e. submappings of fibrewise products of developable mappings coincide (up to homeomorphisms) with submappings of fibrewise products of semi-metrizable mappings.

How to cite

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Cammaroto, F., Nordo, G., and Pasynkov, B. A.. "On trivially semi-metrizable and D-completely regular mappings." Bollettino dell'Unione Matematica Italiana 5-B.1 (2002): 197-203. <http://eudml.org/doc/195017>.

@article{Cammaroto2002,
abstract = {Trivially symmetrizable, trivially semi-metrizable and trivially D-completely regular mappings are defined. They are characterized as mappings parallel to symmetrizable, semi-metrizable and D-completely regular spaces correspondently. One shows that trivially D-completely regular mappings, i.e. submappings of fibrewise products of developable mappings coincide (up to homeomorphisms) with submappings of fibrewise products of semi-metrizable mappings.},
author = {Cammaroto, F., Nordo, G., Pasynkov, B. A.},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {-symmetrizable; -semi–metrizable},
language = {eng},
month = {2},
number = {1},
pages = {197-203},
publisher = {Unione Matematica Italiana},
title = {On trivially semi-metrizable and D-completely regular mappings},
url = {http://eudml.org/doc/195017},
volume = {5-B},
year = {2002},
}

TY - JOUR
AU - Cammaroto, F.
AU - Nordo, G.
AU - Pasynkov, B. A.
TI - On trivially semi-metrizable and D-completely regular mappings
JO - Bollettino dell'Unione Matematica Italiana
DA - 2002/2//
PB - Unione Matematica Italiana
VL - 5-B
IS - 1
SP - 197
EP - 203
AB - Trivially symmetrizable, trivially semi-metrizable and trivially D-completely regular mappings are defined. They are characterized as mappings parallel to symmetrizable, semi-metrizable and D-completely regular spaces correspondently. One shows that trivially D-completely regular mappings, i.e. submappings of fibrewise products of developable mappings coincide (up to homeomorphisms) with submappings of fibrewise products of semi-metrizable mappings.
LA - eng
KW - -symmetrizable; -semi–metrizable
UR - http://eudml.org/doc/195017
ER -

References

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  1. BRANDENBURG, H., Some characterizations of developable spaces, Proc. A.M.S.80 (1980), 157-161. Zbl0443.54024MR574527
  2. BRANDENBURG, H., On a class of nearness spaces and the epireflective hull of developable topological spaces, in: Proceedings of the International Symposium on Topology and its Applications, Beograd (1977). 
  3. CAMMAROTO, F.- PASYNKOV, B. A., Some metrization theorems for continuous mappings, to appear (1999). Zbl1003.54007MR1910427
  4. ENGELKING, R., General Topology, Heldermann, Berlin, 1989. Zbl0684.54001MR1039321
  5. HELDERMANN, N. C., The category of D-completely regular spaces is simple, Trans. A.M.S., 262 (1980), 437-446. Zbl0459.54014MR586727
  6. PASYNKOV, B. A., On extension to mappings of certain notions and assertions concerning spaces, in: Mapping and Functors, Izdat. MGU, Moscow (1984), 72-102 (in Russian). Zbl0558.54010MR791256

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