Spaces of $\mathbb R$ - places of rational function fields

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dc.creatorMachura, Michał
dc.creatorOsiak, Katarzyna
dc.date2008-03-05
dc.date.accessioned2026-07-07T09:24:56Z
dc.date.available2026-07-07T09:24:56Z
dc.descriptionIn the paper an answer to a problem "When different orders of R(X) (where R is a real closed field) lead to the same real place ?" is given. We use this result to show that the space of $\mathbb R$-places of the field $\textbf{R}(Y)$ (where \textbf{R} is any real closure of $\mathbb R(X)$) is not metrizable space. Thus the space $M(\mathbb R(X,Y))$ is not metrizable, too.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0803.0676
dc.identifierhttp://arxiv.org/abs/0803.0676
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156240
dc.subjectCommutative Algebra
dc.subjectGeneral Topology
dc.subject12D15; 14P05
dc.titleSpaces of $\mathbb R$ - places of rational function fields
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