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Z-set unknotting in uncountable products of reals

✍ Scribed by A. Chigogidze

Publisher
Springer Vienna
Year
2011
Tongue
English
Weight
230 KB
Volume
163
Category
Article
ISSN
0026-9255

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πŸ“œ SIMILAR VOLUMES

Fixed point sets of autohomeomorphisms o
Fixed point sets of autohomeomorphisms of uncountable products
✍ Alex Chigogidze; John R. Martin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 579 KB

It is shown that every nonempty closed subset of any uncountable power of a metrizable compact group (or the real line or the irrationals) is the fixed point set an autohomeomorphism of that power.

Complexity of reals in inner models of s
Complexity of reals in inner models of set theory
✍ Boban Velickovic; W.Hugh Woodin πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 931 KB

We consider the possible complexity of the set of reals belonging to an inner model M of set theory. We show that if this set is analytic then either l-2, M is countable or else all reals are in M. We also show that if an inner model contains a superperfect set of reals as a subset then it contains