Browsing by Author "Pillay, Nathan Lingamurthi"
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- ItemOn the definable generalized Bohr compactification of SL(2,Qp)(Stellenbosch : Stellenbosch University, 2018-12) Pillay, Nathan Lingamurthi; Boxall, Gareth John; Stellenbosch University. Faculty of Science. Dept. of Mathematical Sciences. Division Mathematics.ENGLISH ABSTRACT : This paper provides an overview of existing knowledge regarding the socalled definable generalized Bohr compactification of the group SL(2, Qp) of 2 × 2 matrices with determinant 1 and entries in Qp. The (open) question of whether this definable generalized Bohr compactification coincides with the Ellis group of the action of SL(2, Qp) on its type space is also studied in detail. This includes a discussion on the topologies associated with the space of complete types over Qp concentrating on SL(2, Qp), as well as an investigation of the possibility of first-countability of this type space.