Théorie directe des groupes de Lie, III
Théorie directe des groupes de Lie, IV
Theta Functions Defined by Geodesic Cycles in Quotients of SU(P,1).
Theta liftings for quasi-split unitary groups.
Thickness in topological transformation semigroups.
Third symmetric power -functions for
Three results in Dunkl analysis
We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.
Three results on I-sets
Three results on mixing shapes.
Three themes in the work of Charles Ehresmann: local-to-global; groupoids; higher dimensions
This paper illustrates the themes of the title in terms of: van Kampen type theorems for the fundamental groupoid; holonomy and monodromy groupoids; and higher homotopy groupoids. Interaction with work of the writer is explored.
Tidy subgroups for commuting automorphisms of totally disconnected groups: An analogue of simultaneous triangularisation of matrices.
Tiling systems and homology of lattices in tree products.
Tits geometry, arithmetic groups, and the proof of a conjecture of Siegel.
Toeplitz algebras and infinite simple C*-algebras associated with reduced group C*-algebras.
Tools for verifying classical and quantum superintegrability.
Topological AE(0)-groups
We investigate topological AE(0)-groups, a class which contains the class of Polish groups as well as the class of all locally compact groups. We establish the existence of a universal AE(0)-group of a given weight as well as the existence of a universal action of an AE(0)-group of a given weight on an AE(0)-space of the same weight. A complete characterization of closed subgroups of powers of the symmetric group is obtained. It is also shown that every AE(0)-group is Baire isomorphic to a product...
Topological and Algebraic Copies of in .
Topological aspects of infinitude of primes in arithmetic progressions
We investigate properties of coset topologies on commutative domains with an identity, in particular, the 𝓢-coprime topologies defined by Marko and Porubský (2012) and akin to the topology defined by Furstenberg (1955) in his proof of the infinitude of rational primes. We extend results about the infinitude of prime or maximal ideals related to the Dirichlet theorem on the infinitude of primes from Knopfmacher and Porubský (1997), and correct some results from that paper. Then we determine cluster...
Topological automorphism groups of chains.
It is shown that any set-open topology on the automorphism group A(X) of a chain X coincides with the pointwise topology and that A(X) is a topological group with respect to this topology. Topological properties of connectedness and compactness in A(X) are investigated. In particular, it is shown that the automorphism group of a doubly homogeneous chain is generated by any neighborhood of the identity element.
Topological -autonomous categories.