Separating sets by Darboux-like functions
Fundamenta Mathematicae (2002)
- Volume: 175, Issue: 3, page 271-283
- ISSN: 0016-2736
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topAleksander Maliszewski. "Separating sets by Darboux-like functions." Fundamenta Mathematicae 175.3 (2002): 271-283. <http://eudml.org/doc/286112>.
@article{AleksanderMaliszewski2002,
abstract = {We consider the following problem: Characterize the pairs ⟨A,B⟩ of subsets of ℝ which can be separated by a function from a given class, i.e., for which there exists a function f from that class such that f = 0 on A and f = 1 on B (the classical separation property) or f < 0 on A and f > 0 on B (a new separation property).},
author = {Aleksander Maliszewski},
journal = {Fundamenta Mathematicae},
keywords = {Darboux property; connectivity; almost continuity},
language = {eng},
number = {3},
pages = {271-283},
title = {Separating sets by Darboux-like functions},
url = {http://eudml.org/doc/286112},
volume = {175},
year = {2002},
}
TY - JOUR
AU - Aleksander Maliszewski
TI - Separating sets by Darboux-like functions
JO - Fundamenta Mathematicae
PY - 2002
VL - 175
IS - 3
SP - 271
EP - 283
AB - We consider the following problem: Characterize the pairs ⟨A,B⟩ of subsets of ℝ which can be separated by a function from a given class, i.e., for which there exists a function f from that class such that f = 0 on A and f = 1 on B (the classical separation property) or f < 0 on A and f > 0 on B (a new separation property).
LA - eng
KW - Darboux property; connectivity; almost continuity
UR - http://eudml.org/doc/286112
ER -
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