Article ID Journal Published Year Pages File Type
4657841 Topology and its Applications 2016 18 Pages PDF
Abstract

In this paper we first introduce the notion of a saturated class of frames and then define a dimension-like invariant of a frame, the so-called decomposition invariant denoted by dec, which is a cardinal (in particular maybe a non-negative integer), and using the notion of the saturated class prove that in the class of all frames of weight less than or equal to a fixed infinite cardinal τ having decomposition invariant ≤μ, where μ is a fixed cardinal less than or equal to τ, there are universal elements.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Authors
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