Dedekind cuts in C(X)
Banach Center Publications (2011)
- Volume: 95, Issue: 1, page 287-297
- ISSN: 0137-6934
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topNicolae Dăneţ. "Dedekind cuts in C(X)." Banach Center Publications 95.1 (2011): 287-297. <http://eudml.org/doc/281617>.
@article{NicolaeDăneţ2011,
abstract = {The aim of this paper is to show that every Hausdorff continuous interval-valued function on a completely regular topological space X corresponds to a Dedekind cut in C(X) and conversely.},
author = {Nicolae Dăneţ},
journal = {Banach Center Publications},
keywords = {continuous real-valued functions; Hausdorff continuous interval-valued functions; Dedekind cuts; Dedekind order completion},
language = {eng},
number = {1},
pages = {287-297},
title = {Dedekind cuts in C(X)},
url = {http://eudml.org/doc/281617},
volume = {95},
year = {2011},
}
TY - JOUR
AU - Nicolae Dăneţ
TI - Dedekind cuts in C(X)
JO - Banach Center Publications
PY - 2011
VL - 95
IS - 1
SP - 287
EP - 297
AB - The aim of this paper is to show that every Hausdorff continuous interval-valued function on a completely regular topological space X corresponds to a Dedekind cut in C(X) and conversely.
LA - eng
KW - continuous real-valued functions; Hausdorff continuous interval-valued functions; Dedekind cuts; Dedekind order completion
UR - http://eudml.org/doc/281617
ER -
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