Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.14/173385
4 Visitors
4 Hits
0 Downloads
- Title
- Ionads
- Related
- Journal of pure and applied algebra, Vol. 216, No. 8-9, (2012), p.1734-1747
- DOI
- 10.1016/j.jpaa.2012.02.013
- Publisher
- Elsevier
- Date
- 2012
- Author/Creator
- Garner, Richard
- Description
- The notion of Grothendieck topos may be considered as a generalisation of that of topological space, one in which the points of the space may have non-trivial automorphisms. However, the analogy is not precise, since in a topological space, it is the points which have conceptual priority over the open sets, whereas in a topos it is the other way around. Hence a topos is more correctly regarded as a generalised locale than as a generalised space. In this article we introduce the notion of . ionad, which stands in the same relationship to a topological space as a (Grothendieck) topos does to a locale. We develop basic aspects of their theory and discuss their relationship with toposes.
- Description
- 14 page(s)
- Resource Type
- journal article
- Organisation
- Macquarie University. Dept. of Computing
- Identifier
- http://hdl.handle.net/1959.14/173385
- Identifier
- ISSN:0022-4049
- Identifier
- mq_res-ext-2-s2.0-84861460445
- Language
- eng
- Reviewed
