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A bounded linear operator T on a separable Banach space X is said to be topologically transitive if, given two non-empty open sets (U,Vsubset X), there exists (ninmathbb{N}) such that (T^{n}(U cap Vneq emptyset).

If X has the limit shadowing property, then X is transitive if and only if X is chain transitive.

That is, U is transitive if ∀X ∈ U XX ⊆ U), that is, ∀X ∈ U ∀ Z ∈ X Z ∈ U).

A set is transitive if its elements are subsets of it.

A set or a class is transitive if elements of it are also subsets.

The set Λ is transitive if there is a point (xinLambda) such that (omega(x)=Lambda).

The association is transitive if the path is directed, and confounded if it is not.

Given (Ngeq2), the operators (T_{1},T_{2},ldots,T_{N}) on a separable Banach space X are disjoint topologically transitive or diagonally topologically transitive (in short, d-topologically transitive) if, given non-empty open sets (U,V_{1},ldots,V_{N}subset X), there is some (ninmathbb{N}) such that emptysetneq Ucap T_{1}^{-n}(V_{1} cap T_{2}^{-n}(V_{2} capcdotscap T_{L}^{-n}(V_{N}).

This is impossible if we require R to be transitive.

If the values are menu invariant, preferences will be transitive.

The preferences are assumed to be transitive.

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