# Support properties of a family of connected compact sets

Mathematica Bohemica (2001)

- Volume: 126, Issue: 1, page 67-79
- ISSN: 0862-7959

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topNedoma, Josef. "Support properties of a family of connected compact sets." Mathematica Bohemica 126.1 (2001): 67-79. <http://eudml.org/doc/248876>.

@article{Nedoma2001,

abstract = {A problem of finding a system of proportionally located parallel supporting hyperplanes of a family of connected compact sets is analyzed. A special attention is paid to finding a common supporting halfspace. An existence theorem is proved and a method of solution is proposed.},

author = {Nedoma, Josef},

journal = {Mathematica Bohemica},

keywords = {set family; supporting hyperplane; lexicographic optimization; polyhedral approximation; set family; supporting hyperplane; lexicographic optimization; polyhedral approximation},

language = {eng},

number = {1},

pages = {67-79},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Support properties of a family of connected compact sets},

url = {http://eudml.org/doc/248876},

volume = {126},

year = {2001},

}

TY - JOUR

AU - Nedoma, Josef

TI - Support properties of a family of connected compact sets

JO - Mathematica Bohemica

PY - 2001

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 126

IS - 1

SP - 67

EP - 79

AB - A problem of finding a system of proportionally located parallel supporting hyperplanes of a family of connected compact sets is analyzed. A special attention is paid to finding a common supporting halfspace. An existence theorem is proved and a method of solution is proposed.

LA - eng

KW - set family; supporting hyperplane; lexicographic optimization; polyhedral approximation; set family; supporting hyperplane; lexicographic optimization; polyhedral approximation

UR - http://eudml.org/doc/248876

ER -

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