The measure of a bounded open set G is the \(\hspace{1.0cm}\) of the measures of all bounded open sets containing G Posted on:
Let \((X, M_X)\) and \((Y, M_Y)\) be measurable spaces. If E is a subset of \(X \times Y\) that belongs to \(M_{X} \times M_{Y}\) then each section \(E_y\) belongs to \(\hspace{1.0cm}\). Posted on:
The measure m(G) of a non empty bounded open set G is the sum of the \(\hspace{1.0cm}\) of all its component intervals. Posted on:
The concept of measure m(E) of a set E is a generalization of measuring the \(\hspace{1.0cm}\) of a line segment. Posted on:
If the bounded open set G is the union of finite or denumerable family of pairwise disjoint open sets then \(\hspace{1.0cm}\). Posted on:
If a finite number of pairwise disjoint open intervals \(I_l, I_2, I_3 , \ldots I_n\) are contained in an open interval G, then \(\hspace{1.0cm}\). Posted on:
The concept of measure m(E) of a set E is a generalization of measuring the \(\hspace{1.0cm}\) of a space. Posted on:
Let \(\pi_{1}( x, y) =x\) and \(\pi_{2}( x,y) =y \)then \(\pi_{1} : X x Y\rightarrow X \)and \(\pi_{2} : X x X\rightarrow\) Y. The maps \(\pi_{1}\) and \(\pi_{2}\) are called ____________________________ Posted on: