Abstract/Details

## Descriptive topological spaces and perfect maps

Pan, Shiho.
University of Connecticut ProQuest Dissertations Publishing,  1993. 9332891.

### Abstract (summary)

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.

### Indexing (details)

Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences
Title
Descriptive topological spaces and perfect maps
Author
Pan, Shiho
Number of pages
83
Degree date
1993
School code
0056
Source
DAI-B 54/07, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-209-22127-2
Hansell, Roger W.
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9332891
ProQuest document ID
304026274