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Flows and Compactifications
Author(s) -
Lawson J. D.
Publication year - 1992
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-46.2.349
Subject(s) - semigroup , mathematics , pure mathematics , ideal (ethics) , perspective (graphical) , flow (mathematics) , cancellative semigroup , algebra over a field , geometry , epistemology , philosophy
In this paper we study functorial connections between flows and semigroup compactifications of the phase group or semigroup. This machinery provides an approach to the theory of flows from a compact semigroup perspective. It is shown that many standard types of flows can be characterized in a straightforward and useful way by natural restrictions on the minimal ideal of the Ellis or enveloping semigroup of the flow.