We investigate order-theoretic properties of the nonstandard real line, by isolating the basic order-types involved, and the possible relations among them. We focus on order-isomorphisms between the infinitesimals, the infinites, and the whole hyperreal line. We also compute the main cardinal invariants of the order-topology of the nonstandard real line.
On the Ordering of the Nonstandard Real Line
DI NASSO, MAURO;FORTI, MARCO
2002-01-01
Abstract
We investigate order-theoretic properties of the nonstandard real line, by isolating the basic order-types involved, and the possible relations among them. We focus on order-isomorphisms between the infinitesimals, the infinites, and the whole hyperreal line. We also compute the main cardinal invariants of the order-topology of the nonstandard real line.File in questo prodotto:
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