1 citations · 2 across the 5 of their papers we have counts for
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Witt rings of quadratically presentable fields
Pawel Gladki, Krzysztof Worytkiewicz
This paper introduces a novel approach to the axiomatic theory of quadratic forms. We work internally in a category of certain partially ordered sets, subject to additional conditi…
Witt equivalence of function fields of conics
Paweł Gładki, Murray Marshall
Two fields are Witt equivalent if, roughly speaking, they have the same quadratic form theory. Formally, that is to say that their Witt rings of symmetric bilinear forms are isomor…
Witt equivalence of function fields of curves over local fields
Paweł Gładki, Murray Marshall
Two fields are Witt equivalent if their Witt rings of symmetric bilinear forms are isomorphic. Witt equivalent fields can be understood to be fields having the same quadratic form…
Witt equivalence of function fields over global fields
Pawel Gladki, Murray Marshall
In our work we investigate Witt equivalence of general function fields over global fields. It is proven that for any two such fields K and L the Witt equivalence induces a canonica…
Quotients of index two and general quotients in a space of orderings
Pawel Gladki, Murray Marshall
In our work we investigate quotient structures and quotient spaces of a space of orderings arising from subgroups of index two. We provide necessary and sufficient conditions for a…
On profinite spaces of orderings
Pawel Gladki, Bill Jacob
In this paper we present the following two results: we give an explicit description of the space of orderings of the field Q(x) as an inverse limit of finite spaces of orderings an…