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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.35 (2003) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4172
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| Title: | Dimension, inverse limits and GF-spaces |
| Authors: | Arenas, F. G.
Sánchez-Granero, M. A. |
| Keywords: | GF-spaces
inverse limit
posets
tiling
topological dimension |
| Issue Date: | 2003 |
| Publisher: | Università degli Studi di Trieste. Dipartimento di Matematica e Informatica |
| Citation: | F. G. Arenas, M. A. Sánchez-Granero, "Dimension, inverse limits and GF-spaces", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 35 (2003), pp. 19-35. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
35 (2003) |
| Abstract: | In this paper we characterize (covering) dimension in
metrizable spaces in terms of fractal structures. We will also
study dimension for compact metric spaces, giving a theorem relating dimension and a certain class of inverse limits, similar to
that of Freudenthal. |
| URI: | http://hdl.handle.net/10077/4172 |
| ISSN: | 0049-4704 |
| MS Classification: | 54F45
54E15 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.35 (2003)
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