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Seminar Series 3
| What | School Events Seminar |
|---|---|
| When |
2006-10-27 from 14:10 to 15:00 |
| Where | F47 Science Building, Pietermaritzburg |
| Contact Name | Siu-Ah Ng |
| Contact Email | ngs@ukzn.ac.za |
| Attendees | all interested |
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Mathematics seminar series in honour of Prof Johan Swart's retirement
A duality involing Borel spaces
Partha Pratim Ghosh (UKZN)
Abstract
In this short paper we shall develop a duality between Borel spaces and Boolean $\sigma$-frames. The class of sober Borel spaces shall be defined and characterised as precisely those Borel spaces which separate points and on which the {0, 1}-valued countably additive probabilities are concentrated at some point. All separated Borel spaces then follow to be sober and examples of non-separated sober Borel spaces are also provided.