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

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

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.

Original language	English
Pages (from-to)	317-328
Number of pages	12
Journal	Topology and its Applications
Volume	146-147
DOIs	https://doi.org/10.1016/j.topol.2003.05.005
Publication status	Published - 2005 Jan 1

Keywords

Fundamental group
Hawaiian earring

ASJC Scopus subject areas

Geometry and Topology

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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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