Green's \(\mathcal L\)-relation for semigroups and compactifications

DOI10.1007/BF02189860zbMath0442.20051MaRDI QIDQ1143502

Kenneth D. jun. Magill

Publication date: 1979

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136819

zbMATH Keywords

Hilbert cube0-dimensional compactificationsautomorphism group of Green's classesleft Green's classeslocally compact Hausdorff connected spacesemigroups of continuous mappings

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroups of transformations, relations, partitions, etc. (20M20) Transformation groups and semigroups (topological aspects) (54H15) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Infinite automorphism groups (20B27)

Cites Work

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• Schützenberger groups of some irregular \(\mathcal H\)-classes
• A note on compactifications
• Stone-Cech Compactifications of Products
• Zero-Dimensional Compactifications of Locally Compact Spaces
• The Lattice of Compactifications of a Locally Compact Space
• 0-dimensional compactifications and Boolean rings
• Concerning the Decomposition and Amalgamation of Points, Upper Semi-Continuous Collections, and Topological Extensions

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