NAVIGATION
Home
Research
Bookshelf
Garden
FIND ME ON
GitHub
LinkedIn
🌱
Let (X,M)(X,\mathscr{M})(X,M) be a measure space and let u,v:X→Ru,v:X\to \mathbb{R}u,v:X→R be two measurable functions where R\mathbb{R}R is equipped with the Standard topology. Suppose that (Y,T)(Y,\mathscr{T})(Y,T) is a Topological Space and Φ:R2→Y\Phi:\mathbb{R}^2\to YΦ:R2→Y is Continuous (here R2\mathbb{R}^{2}R2 is also equipped with standard topology) then h:X→Yh:X\to Yh:X→Y defined as h(x)=Φ(u(x),v(x))h(x)=\Phi(u(x),v(x))h(x)=Φ(u(x),v(x)) is measurable.
A Summary of MATH 891