✦ LIBER ✦

The topology of Mazurkiewicz traces

✍ Scribed by Ralph Kummetz; Dietrich Kuske

Book ID: 104325665
Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 402 KB
Volume: 305
Category: Article
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(02)00694-1

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✦ Synopsis

The present paper characterizes the topological structure of real traces. This is done in terms of graph-theoretic properties of the underlying (possibly inÿnite) dependence alphabet. The topological space of real traces is shown to be homeomorphic to the direct product of (at most) the full binary tree and the full countably branching tree and one higher-dimensional grid. The occurrence of each of these factors depends on the existence of ÿnite non-trivial and of inÿnite connected components and on the number of isolated letters of the dependence alphabet.

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