Detail výsledku

A Jordan curve theorem with respect to a pretopology on Z^2

ŠLAPAL, J. A Jordan curve theorem with respect to a pretopology on Z^2. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2013, roč. 90, č. 8, s. 1618-1628. ISSN: 0020-7160.
Typ
článek v časopise
Jazyk
česky
Autoři
Šlapal Josef, prof. RNDr., CSc., ÚM (FSI)
Abstrakt

We study a pretopology on $\mathbb Z^2$ having the property that the Khalimsky topology is one of its quotient pretopologies.
Using this fact, we prove an analogue of the Jordan
curve theorem for this pretopology thus showing that such a pretopology provides a large
variety of digital Jordan curves. Some consequences of this result
are discussed, too.

Klíčová slova

quasi-discrete pretopology, quotient pretopology, connectedness graph, digital plane, Jordan curve

Rok
2013
Strany
1618–1628
Časopis
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, roč. 90, č. 8, ISSN 0020-7160
Vydavatel
Taylor&Francis
Místo
England
BibTeX 
@article{BUT96346,
  author="Josef {Šlapal}",
  title="A Jordan curve theorem with respect to a pretopology on Z^2",
  journal="INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS",
  year="2013",
  volume="90",
  number="8",
  pages="1618--1628",
  issn="0020-7160"
}
Projekty
Centrum excelence IT4Innovations, MŠMT, Operační program Výzkum a vývoj pro inovace, ED1.1.00/02.0070, zahájení: 2011-01-01, ukončení: 2015-12-31, ukončen
Pracoviště
Ústav matematiky (ÚM)
Nahoru