Embedding of a planar rational compactum into a planar continuum with the same rim-type

Sophia Zafiridou

Fundamenta Mathematicae (2001)

  • Volume: 168, Issue: 2, page 113-118
  • ISSN: 0016-2736

Abstract

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We prove that every planar rational compactum with rim-type ≤ α, where α is a countable ordinal greater than 0, can be topologically embedded into a planar rational (locally connected) continuum with rim-type ≤ α.

How to cite

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Sophia Zafiridou. "Embedding of a planar rational compactum into a planar continuum with the same rim-type." Fundamenta Mathematicae 168.2 (2001): 113-118. <http://eudml.org/doc/282426>.

@article{SophiaZafiridou2001,
abstract = {We prove that every planar rational compactum with rim-type ≤ α, where α is a countable ordinal greater than 0, can be topologically embedded into a planar rational (locally connected) continuum with rim-type ≤ α.},
author = {Sophia Zafiridou},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {2},
pages = {113-118},
title = {Embedding of a planar rational compactum into a planar continuum with the same rim-type},
url = {http://eudml.org/doc/282426},
volume = {168},
year = {2001},
}

TY - JOUR
AU - Sophia Zafiridou
TI - Embedding of a planar rational compactum into a planar continuum with the same rim-type
JO - Fundamenta Mathematicae
PY - 2001
VL - 168
IS - 2
SP - 113
EP - 118
AB - We prove that every planar rational compactum with rim-type ≤ α, where α is a countable ordinal greater than 0, can be topologically embedded into a planar rational (locally connected) continuum with rim-type ≤ α.
LA - eng
UR - http://eudml.org/doc/282426
ER -

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