Tychonoff’s theorem for locally compact spaces and an elementary approach to the topology of path spaces

DOI10.1090/S0002-9939-05-08030-5zbMath1099.54010arXiv0704.2802MaRDI QIDQ4674780

Alan L. T. Paterson, Amy E. Welch

Publication date: 18 May 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2802

zbMATH Keywords

productgroupoidlocal compactnessfinitely aligned graphpath space of directed graph

Mathematics Subject Classification ID

Noncommutative topology (46L85) Planar graphs; geometric and topological aspects of graph theory (05C10) General theory of (C^*)-algebras (46L05) Product spaces in general topology (54B10) Quotient spaces, decompositions in general topology (54B15) Topological groupoids (including differentiable and Lie groupoids) (22A22) Local compactness, (sigma)-compactness (54D45)

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RECOVERING THE BOUNDARY PATH SPACE OF A TOPOLOGICAL GRAPH USING POINTLESS TOPOLOGY ⋮ The path space of a directed graph ⋮ Spatial realisations of KMS states on the \(C^\ast\)-algebras of higher-rank graphs

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