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Hardcover. Zustand: New. 8vo (22.5 cm), 258 pp. Publisher's cloth. Mathematical Studies: Monograph Series, vol. 13. A research monograph on the applications of ultrafilter methods in topological algebra, centred on the algebraic and topological structure of the Stone-Čech compactification, betaG, of a topological group. The auth…ors examine betaG as a right-topological semigroup, with particular emphasis on the continuity properties of the semigroup operation under left translations and the rich algebraic structure that arises from this setting. Building on these foundations, the volume explores applications of the Stone-Čech compactification to combinatorics, functional analysis, and the theory of left convolution algebras, while demonstrating how ultrafilter techniques may be employed to construct and investigate new topologies on groups. A specialized contribution to topological algebra and infinite combinatorics, intended for researchers and graduate students working in topology, group theory, functional analysis, and related areas of modern mathematics.
