A topological group is a mathematical structure that combines the concepts of group theory and topology. It consists of a set equipped with a group operation that is continuous with respect to the topology on the set. This means that both the group operation (multiplication) and the operation of taking inverses are continuous functions. Topological groups are important in various areas of mathematics, including analysis, algebra, and geometry, as they allow for the study of symmetry and continuity simultaneously.
Bruno Gruber has written: 'Topological groups and global properties' -- subject(s): Topological groups
L. S. Pontriagin has written: 'Topological groups' -- subject(s): Topological groups
Philip J. Higgins has written: 'An introduction to topological groups' -- subject(s): Topological groups
Karl Heinrich. Hofmann has written: 'The structure of compact groups' -- subject(s): Compact groups 'Lie groups and subsemigroups with surjective exponential fuction' -- subject(s): Lie groups, Loops (Group theory), Topological semigroups 'The algebraic theory of compact Lawson semilattices' -- subject(s): Connections (Mathematics), Galois theory, Semilattices 'Splitting in topological groups' -- subject(s): Topological groups
Maria Fragoulopoulou has written: 'Topological algebras with involution' -- subject(s): Topological algebras 'An introduction of the representation theory of topological *-algebras' -- subject(s): Topological algebras, Representations of algebras
Eldar Straume has written: 'Compact connected Lie transformation groups on spheres with low cohomogeneity, II' -- subject(s): Topological transformation groups, Homology theory
Ethan Akin has written: 'The general topology of dynamical systems' -- subject(s): Topological dynamics, Differentiable dynamical systems 'The topological dynamics of Ellis actions' -- subject(s): Topological transformation groups, Topological semigroups 'Hopf bifurcation in the two locus genetic model' -- subject(s): Mathematical models, Genetics, Bifurcation theory 'Simplicial Dynamical Systems (Memoirs of the American Mathematical Society)' 'The geometry of population genetics' -- subject(s): Mathematical models, Population genetics
R. Lowen has written: 'On the existence of natural non-topological, fuzzy topological spaces' -- subject(s): Topological spaces, Fuzzy sets
Eduard Cech has written: 'Point sets' -- subject(s): Set theory, Topological spaces 'Topological spaces' -- subject(s): Topological spaces
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V. K Balachandran has written: 'Topological algebras' -- subject(s): Topological algebras
N. Christopher Phillips has written: 'Equivariant K-theory for proper actions' -- subject(s): K-theory, Operator algebras, Topological transformation groups