The Space of Real Places on ℝ(x, y)

• Autorzy: Ron Brown , Jonathan L. Merzel
• Języki publikacji: EN

Abstrakty

EN

The space M(ℝ (x; y)) of real places on ℝ (x; y) is shown to be path-connected. The possible value groups of these real places are determined and for each one it is shown that the set of real places with that value group is dense in the space. Large collections of subspaces of the space M(ℝ (x; y)) are constructed such that any two members of such a collection are homeomorphic. A key tool is a homeomorphism between the space of real places on ℝ((x))(y) and a certain space of sequences related to the "signatures" of [2], which themselves are shown here to be related to the "strict systems of polynomial extensions" of [3]. (original abstract)

Słowa kluczowe

EN

Mathematics

PL

Matematyka

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2018
• Tom: 32
• Strony: 99--131

Twórcy

autor

Ron Brown

• University of Hawaii, USA

autor

Jonathan L. Merzel

• Soka University of America, USA

Bibliografia

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Identyfikatory

DOI

10.1515/amsil-2017-0017