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 |
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Pages (from-to) | 317-328 |
Number of pages | 12 |
Journal | Topology and its Applications |
Volume | 146-147 |
DOIs | |
Publication status | Published - 2005 Jan 1 |
Keywords
- Fundamental group
- Hawaiian earring
ASJC Scopus subject areas
- Geometry and Topology