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http://hdl.handle.net/10077/4172| 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 | Source: | 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 |
| Appears in Collections: | Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.35 (2003) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ArenasSanchezGraneroRendMat35.pdf | 149.71 kB | Adobe PDF | View/Open |
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