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Abstract
A complete regular Hausdorff space X is Cech-analytic if it is the projection of a Cech-complete subspace C $\subset {X} \times \ \omega\sp\omega$ along the so-called Baire space $\omega\sp\omega.$ We show that a perfect image of a Cech-analytic space is again Cech-analytic. This settles a question raised by the late Zdenek Frolik.
A completely regular Hausdorff space X is said to be partition analytic if it is the projection of a partition complete subspace C $\subset {X} \times \ \omega\sp\omega$ along $\omega\sp\omega.$ Several equivalent properties characterizing partition analytic spaces are shown, including one of the game theoretic characterizations. The preservation properties of partition analytic spaces are given in this paper.
Details
Title
Descriptive topological spaces and perfect maps
Author
Pan, Shiho
Year
1993
ISBN
979-8-209-22127-2
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
304026274
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
