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Homogeneous ideals on countable sets

Authors :
Kwela, Adam
Tryba, Jacek
Source :
Acta Math. Hungar., 151, No. 1, (2017), pp. 139-161
Publication Year :
2016

Abstract

We say that an ideal I is homogeneous, if its restriction to any I-positive subset is isomorphic to I. The paper investigates basic properties of this notion -- we give examples of homogeneous ideals and present some applications to topology and ideal convergence. Moreover, we answer questions related to our research.

Subjects

Subjects :
Mathematics - Logic
03E05

Details

Database :
arXiv
Journal :
Acta Math. Hungar., 151, No. 1, (2017), pp. 139-161
Publication Type :
Report
Accession number :
edsarx.1607.05610
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/s10474-016-0669-z