α-sober spaces via the orthogonal closure operator
Each ordinal alpha equipped with the upper topology is a T0-space. It is well known that for alpha=2 the reflective hull of alpha in Top0 is the subcategory of sober spaces. Here, we define alpha-sober space for every ordinal alpha in such a way that the reflective hull of alpha in Top0 is the subca...
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| Format: | article |
| Language: | eng |
| Published: |
2015
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| Online Access: | http://hdl.handle.net/10400.19/2852 |
| Country: | Portugal |
| Oai: | oai:repositorio.ipv.pt:10400.19/2852 |