On the weight and the density of the space of order-preserving functionals

Details On the weight and the density of the space of order-preserving functionals On the weight and the density of the space of order-preserving functionals

2007-10-26

arxiv.org/abs/0710.5020v1

Mathematics

General Topology

Scientific paper

In the present paper it is proved that the functors $O_\tau$ of $\tau$-smooth
order preserving functionals and $O_R$ of Radon order preserving functionals
preserve the weight of infinite Tychonoff spaces. Moreover, it is established
that the density and the weak density of infinite Tychonoff spaces do not
increase under these functors.

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