On the number of minimal pairs of compact convex sets that are not translates of one another
Studia Mathematica (2003)
- Volume: 158, Issue: 1, page 59-63
- ISSN: 0039-3223
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topJ. Grzybowski, and R. Urbański. "On the number of minimal pairs of compact convex sets that are not translates of one another." Studia Mathematica 158.1 (2003): 59-63. <http://eudml.org/doc/285202>.
@article{J2003,
abstract = {Let [A,B] be the family of pairs of compact convex sets equivalent to (A,B). We prove that the cardinality of the set of minimal pairs in [A,B] that are not translates of one another is either 1 or greater than ℵ₀.},
author = {J. Grzybowski, R. Urbański},
journal = {Studia Mathematica},
keywords = {convex analysis; minimal pairs of compact convex sets},
language = {eng},
number = {1},
pages = {59-63},
title = {On the number of minimal pairs of compact convex sets that are not translates of one another},
url = {http://eudml.org/doc/285202},
volume = {158},
year = {2003},
}
TY - JOUR
AU - J. Grzybowski
AU - R. Urbański
TI - On the number of minimal pairs of compact convex sets that are not translates of one another
JO - Studia Mathematica
PY - 2003
VL - 158
IS - 1
SP - 59
EP - 63
AB - Let [A,B] be the family of pairs of compact convex sets equivalent to (A,B). We prove that the cardinality of the set of minimal pairs in [A,B] that are not translates of one another is either 1 or greater than ℵ₀.
LA - eng
KW - convex analysis; minimal pairs of compact convex sets
UR - http://eudml.org/doc/285202
ER -
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