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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.
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What has the author L S Pontriagin written?
L. S. Pontriagin has written: 'Topological groups' -- subject(s): Topological groups
What has the author Bruno Gruber written?
Bruno Gruber has written: 'Topological groups and global properties' -- subject(s): Topological groups
What has the author Philip J Higgins written?
Philip J. Higgins has written: 'An introduction to topological groups' -- subject(s): Topological groups
What has the author Karl Heinrich Hofmann written?
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
What has the author Maria Fragoulopoulou written?
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
What has the author Eldar Straume written?
Eldar Straume has written: 'Compact connected Lie transformation groups on spheres with low cohomogeneity, II' -- subject(s): Topological transformation groups, Homology theory
What has the author Ethan Akin written?
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
What has the author R Lowen written?
R. Lowen has written: 'On the existence of natural non-topological, fuzzy topological spaces' -- subject(s): Topological spaces, Fuzzy sets
What has the author Eduard Cech written?
Eduard Cech has written: 'Point sets' -- subject(s): Set theory, Topological spaces 'Topological spaces' -- subject(s): Topological spaces
Is metrizability a topological property?
yes
What has the author V K Balachandran written?
V. K Balachandran has written: 'Topological algebras' -- subject(s): Topological algebras
What is the singular sheaves?
Singular sheaves are a type of sheaf used in algebraic topology, particularly in the study of singular homology and cohomology. They are constructed from singular simplices, which are continuous mappings from standard simplices into a topological space. Singular sheaves assign algebraic structures, such as abelian groups or rings, to open sets of a topological space, allowing for the analysis of local properties and global sections. This framework is essential for understanding how topological spaces behave under continuous mappings and local variations.
