Real places and ordered fields

Places on ∗- fields and the real holomorphy ring

The Structure of Spaces of R-places of Rational Function Fields over Real Closed Fields

For arbitrary real closed fields R, we study the structure of the space M(R(y)) of R-places of the rational function field in one variable over R and determine its dimension to be 1. We determine small subbases for their topology and discuss a suitable metric in the metrizable case. In the case of non-archimedean R, we exhibit the rich variety of homeomorphisms of subspaces that can be found in...

Ordered Rings and Fields

On Partly Ordered Fields

Real Places in Virtual Spaces

We can distinguish geometrically defined or indicated areas of space from those areas of space where a structure of social norms gives special meaning to movements and actions. A courtroom, a restaurant, a corridor each have their appropriate norms that distinguish sub-areas and assign behaviors to them. We might call such areas places as opposed to mere areas of space that have no special sign...