Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

The Boolean space of higher level orderings

100%

Osiak K.

Fundamenta Mathematicae

2007

tom 196

nr 2

101-117

Let K be an ordered field. The set X(K) of its orderings can be topologized to make it a Boolean space. Moreover, it has been shown by Craven that for any Boolean space Y there exists a field K such that X(K) is homeomorphic to Y. Becker's higher level ordering is a generalization of the usual concept of ordering. In a similar way to the case of ordinary orderings one can define a topology on the space of orderings of fixed exact level. We show that it need not be Boolean. However, our main theorem says that for any n and any Boolean space Y there exists a field, the space of orderings of fixed exact level n of which is homeomorphic to Y.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Osiak K.

1 2007

Wyniki wyszukiwania

The Boolean space of higher level orderings