Category:Definitions/Trace Sigma-Algebras

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This category contains definitions related to Trace Sigma-Algebras.
Related results can be found in Category:Trace Sigma-Algebras.

Let $X$ be a set, and let $\Sigma$ be a $\sigma$-algebra on $X$.

Let $E \subseteq X$ be a subset of $X$.

Then the trace $\sigma$-algebra (of $E$ in $\Sigma$), $\Sigma_E$, is defined as:

$\Sigma_E := \set {E \cap S: S \in \Sigma}$

Pages in category "Definitions/Trace Sigma-Algebras"

The following 2 pages are in this category, out of 2 total.