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$t$-Covering Arrays Generated by a Tiling Probability Model
$t$-Covering Arrays Tiling Probability Model
2010/11/8
A $t-\a$ covering array is an $m\times n$ matrix, with entries from an alphabet of size $\alpha$, such that for any choice of $t$ rows, and any ordered string of $t$ letters of the alphabet, there ex...
Small loop spaces and covering theory of non-homotopically Hausdorff spaces
Small loop spaces covering theory non-homotopically Hausdorff spaces
2010/11/12
In this paper we devote to spaces that are not homotopically hausdorff and study their covering spaces. We introduce the notion of small covering and prove that every small covering of $X$ is the uni...