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arxiv: 1607.05610 · v1 · pith:AZ6NR6WUnew · submitted 2016-07-18 · 🧮 math.LO

Homogeneous ideals on countable sets

classification 🧮 math.LO
keywords homogeneousidealidealsanswerapplicationsbasicconvergencecountable
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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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