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On linearly ordered sets and permutation groups of uncountable degree

Abstract:

In this thesis a set, Ω, of cardinality NK and a group acting on Ω, with NK+1 orbits on the power set of Ω, is found for every infinite cardinal NK.

Let WK denote the initial ordinal of cardinality NK. Define

N := {α1α2 . . . αn∣ 0 < n < w, αjwK for j = 1, . . .,n,

αn a...

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Institution:
University of Oxford
Department:
Faculty of Mathematical Sciences

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Role:
Supervisor
Role:
Supervisor
Publication date:
1990
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Barcode:
603849267
URN:
uuid:ce9a8b26-bb4c-4c85-8231-78e89ce4109d
Local pid:
td:603849267
Language:
English
Subjects:

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