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https://www.um.edu.mt/library/oar/handle/123456789/18300| Title: | On metrizable type (MT-) maps and spaces |
| Authors: | Buhagiar, David Pasynkov, Boris Alekseevich Miwa, Takashi |
| Keywords: | Topological spaces Functions, Continuous Mappings (Mathematics) |
| Issue Date: | 1999-09 |
| Publisher: | Elsevier |
| Citation: | Buhagiar, D., Pasynkov, B. A., & Miwa, T. (1999). On metrizable type (MT-) maps and spaces. Topology and its Applications, 96(1), 31-51. |
| Abstract: | In this paper we define and study MT-maps, which are the fibrewise topological analogue of metrizable spaces, i.e., the extension of metrizability from the category Top to the category TopY. Several characterizations and properties of MT-maps are proved. The notion of an MT-space as an MT-map preimage of a metrizable space is introduced. Examples of MT-spaces and their relation with M-spaces are given. Finally it is deduced that an MT-space with a Gδ-diagonal is metrizable. |
| URI: | https://www.um.edu.mt/library/oar//handle/123456789/18300 |
| Appears in Collections: | Scholarly Works - FacSciMat |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| OA - On metrizable type ( MT) maps and spaces.1.pdf | On metrizable type (MT-) maps and spaces | 209.66 kB | Adobe PDF | View/Open |
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