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searching for Product topology 15 found (154 total)

Symmetric product (topology) (3,282 words) [view diff] no match in snippet view article

In algebraic topology, the nth symmetric product of a topological space consists of the unordered n-tuples of its elements. If one fixes a basepoint, there

Wedge product (topology) (69 words) [view diff] no match in snippet view article

The wedge product in topology may refer to: The wedge sum, which joins two spaces at a point The smash product, the product in the category of pointed

Counterexamples in Topology (1,070 words) [view diff] exact match in snippet view article find links to article

tangent disk topology Sorgenfrey's half-open square topology Michael's product topology Tychonoff plank Deleted Tychonoff plank Alexandroff plank Dieudonné

Adele ring (18,442 words) [view diff] exact match in snippet view article find links to article

product topology this converges to ( 1 , 1 , … ) {\displaystyle (1,1,\ldots )} , but it does not converge at all in the restricted product topology.

Gaussian distribution on a locally compact Abelian group (791 words) [view diff] exact match in snippet view article find links to article

infinite dimensional (the space of all sequences of real numbers in the product topology) (). If a distribution γ {\displaystyle \gamma } can be embedded in

Countably compact space (563 words) [view diff] exact match in snippet view article find links to article

continuum-many closed intervals [ 0 , 1 ] {\displaystyle [0,1]} with the product topology is compact and hence countably compact; but it is not sequentially

Collapsing algebra (254 words) [view diff] exact match in snippet view article find links to article

options for the topology of κλ. The simplest option is to take the usual product topology. Another option is to take the topology generated by open sets consisting

Γ-convergence (911 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\text{K-}}\limsup } the Kuratowski limes superior in the product topology of X × R {\displaystyle X\times \mathbb {R} } . In particular, ( F

Order topology (functional analysis) (1,371 words) [view diff] exact match in snippet view article

spaces (this product having its canonical order) is identical to the product topology of the topological product of the constituent ordered vector spaces

Inductive tensor product (2,080 words) [view diff] exact match in snippet view article find links to article

}Y} ), then τ {\displaystyle \tau } is equal to the inductive tensor product topology if and only if it has the following property: For every locally convex

Thurston boundary (1,393 words) [view diff] exact match in snippet view article find links to article

Teichmüller space a topology (the right-hand side being given the product topology). In fact, the map to the projective space P ( R + S ) {\displaystyle

Maass wave form (8,495 words) [view diff] exact match in snippet view article find links to article

G_{\text{fin}}} locally compact group, if we equip it with the restricted product topology. The group G A {\displaystyle G_{\mathbb {A} }} is isomorphic to G

Profinite integer (2,133 words) [view diff] exact match in snippet view article find links to article

_{n=1}^{\infty }\mathbb {Z} /n\mathbb {Z} } which is compact with its product topology by Tychonoff's theorem. Note the topology on each finite group Z /

Bunce–Deddens algebra (1,632 words) [view diff] exact match in snippet view article find links to article

and 1's, X = ∏ { 0 , 1 } , {\displaystyle X=\prod \{0,1\},} with the product topology. Define a homeomorphism α : X → X {\displaystyle \alpha :X\rightarrow

Voter model (4,457 words) [view diff] exact match in snippet view article find links to article

bounded and continuous as a function of η {\displaystyle \eta } in the product topology on S {\displaystyle S} . Each component η ∈ S {\displaystyle \eta \in