Choquet–Kendall–Matheron theorems for non-Hausdorff spaces
2011 ◽
Vol 21
(3)
◽
pp. 511-561
◽
Keyword(s):
We establish Choquet–Kendall–Matheron theorems on non-Hausdorff topological spaces. This typical result of random set theory is profitably recast in purely topological terms using intuitions and tools from domain theory. We obtain three variants of the theorem, each one characterising distributions, in the form of continuous valuations, over relevant powerdomains of demonic, angelic and erratic non-determinism, respectively.
Keyword(s):
Keyword(s):
2017 ◽
Vol 199
◽
pp. 012057
Keyword(s):
2017 ◽
Vol 11
(1/2)
◽
pp. 63
2012 ◽
Vol 5
(5)
◽
pp. 975-984
◽
Keyword(s):
2017 ◽
Vol 11
(1/2)
◽
pp. 63
2010 ◽
Vol 2
(1-2)
◽
pp. 69-80
Keyword(s):