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searching for Locally compact space 9 found (44 total)

Sheaf cohomology (5,829 words) [view diff] exact match in snippet view article find links to article

Let X be a locally compact topological space. (In this article, a locally compact space is understood to be Hausdorff.) For a sheaf E of abelian groups

Compactly generated space (4,652 words) [view diff] exact match in snippet view article find links to article

weakly locally compact space is CG-1. Conversely, every CG-1 space X {\displaystyle X} is the quotient space of a weakly locally compact space, which

Topologist's sine curve (394 words) [view diff] exact match in snippet view article find links to article

so as to make a path. The space T is the continuous image of a locally compact space (namely, let V be the space {−1} ∪ (0, 1], and use the map f from

Quotient space (topology) (3,381 words) [view diff] exact match in snippet view article

compact, then so are all its quotient spaces. A quotient space of a locally compact space need not be locally compact. Dimension The topological dimension

Coherent topology (1,728 words) [view diff] exact match in snippet view article find links to article

interiors cover X . {\displaystyle X.} As examples of this, a weakly locally compact space is coherent with the family of its compact subspaces. And a locally

Orbifold (10,240 words) [view diff] exact match in snippet view article find links to article

is defined by replacing the model for the orbifold charts by a locally compact space with a rigid action of a finite group, i.e. one for which points

Zonal spherical function (6,693 words) [view diff] exact match in snippet view article find links to article

the Gelfand–Naimark theorem it has the form C0(X), where X is the locally compact space of norm continuous * homomorphisms of A(K\G/K) into C. A concrete

Maass wave form (8,501 words) [view diff] exact match in snippet view article find links to article

G} -right-invariant Radon measure d x {\displaystyle dx} on the locally compact space Γ ∖ G {\displaystyle \Gamma \backslash G} . Let L 2 ( Γ ∖ G ) {\displaystyle

Plancherel theorem for spherical functions (11,769 words) [view diff] exact match in snippet view article find links to article

spectral theory, there is an essentially unique measure μ on the locally compact space X and a unitary transformation U between H0 and L2(X, μ) which carries