Fundamental groups having the whole information of spaces

Greg Conner; Katsuya Eda

doi:10.1016/j.topol.2003.05.005

Fundamental groups having the whole information of spaces

Greg Conner, Katsuya Eda^*

^*この研究の対応する著者

研究成果: Article › 査読

16 被引用数 (Scopus)

抄録

We introduce a new construction of spaces from groups using homomorphic images of the fundamental group of the Hawaiian earring ℍ. According to this construction the Menger sponge, Sierpinski gasket, Sierpinski carpet and the direct product of their countable many copies are recovered from their fundamental groups.

本文言語	English
ページ（範囲）	317-328
ページ数	12
ジャーナル	Topology and its Applications
巻	146-147
DOI	https://doi.org/10.1016/j.topol.2003.05.005
出版ステータス	Published - 2005 1月 1

ASJC Scopus subject areas

幾何学とトポロジー

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10.1016/j.topol.2003.05.005

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abstract = "We introduce a new construction of spaces from groups using homomorphic images of the fundamental group of the Hawaiian earring ℍ. According to this construction the Menger sponge, Sierpinski gasket, Sierpinski carpet and the direct product of their countable many copies are recovered from their fundamental groups.",

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AB - We introduce a new construction of spaces from groups using homomorphic images of the fundamental group of the Hawaiian earring ℍ. According to this construction the Menger sponge, Sierpinski gasket, Sierpinski carpet and the direct product of their countable many copies are recovered from their fundamental groups.

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JO - Topology and its Applications

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Fundamental groups having the whole information of spaces

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