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Journal of Applied Analysis

Editor-in-Chief: Liczberski, Piotr / Ciesielski, Krzysztof

Managing Editor: Gajek, Leslaw

2 Issues per year

CiteScore 2017: 0.33

SCImago Journal Rank (SJR) 2017: 0.183
Source Normalized Impact per Paper (SNIP) 2017: 0.364

Mathematical Citation Quotient (MCQ) 2017: 0.27

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Volume 1, Issue 2


Coinitial Families of Perfect Sets

M. Balcerzak
  • Institute of Mathematics, Lódź Technical University, Al. Politechniki 11, 90–924 Lódź, Poland.
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ A. Roslanowski
  • Mathematical Institute, Wroclaw University, Pl. Grunwaldzki 2/4, 50–384 Wroclaw, Poland
  • Institute of Mathematics, The Hebrew University of Jerusalem, 91904 Jerusalem, Israel.
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2010-06-03 | DOI: https://doi.org/10.1515/JAA.1995.181


Let Perf(X) denote the family of all perfect subsets of a perfect Polish space X. We show several properties and characterizations of coinitial subfamilies of Perf(X). Connections with the Vietoris topology and Morgan's category bases are observed. We characterize the least cardinality of a family of coinitial ideals with noncoinitial intersection. Some examples of special noncoinitial families in Perf(X) are presented. Much place is devoted to perfect isomorphisms between ideals of subsets of X.

Key words and phrases.: Polish space; perfect set; (s 0)–set; coinitial set; ideal of sets; isomorphism of ideals; category base; Vietoris topology; Sacks Amoeba forcing

About the article

Published Online: 2010-06-03

Published in Print: 1995-12-01

Citation Information: Journal of Applied Analysis, Volume 1, Issue 2, Pages 181–204, ISSN (Online) 1869-6082, ISSN (Print) 1425-6908, DOI: https://doi.org/10.1515/JAA.1995.181.

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