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arXiv · 1607.05610

Homogeneous ideals on countable sets

Adam Kwela·Jacek Tryba
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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.

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Adam Kwela, Jacek Tryba. 2016-07-18. Homogeneous ideals on countable sets. https://doi.org/10.1007/s10474-016-0669-z

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