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
Advisor
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
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/304026274/abstract