on the λ-paracompact spaces

‎a generalization of $lambda$-compact spaces and paracompact spaces are introduced and studied‎. ‎an open cover of a space $x$ is called locally-$lambda$ if every point of the space has a neighborhood‎, ‎say $g$‎, ‎such that the family of the sets in this open cover that have nonempty intersections with $g$ is less than $lambda$‎, ‎where $lambda$ is the least infinite cardinal number with this property‎. ‎a topological space $x$ is said to be $lambda$-paracompact if every open cover has a locally-$lambda$ open refinement‎. ‎it is shown that the space $igoplus_{sin{s}}{x_s}$ is a $lambda$-paracompact space if and only if for each $sin s$‎, ‎$x_s$ is $lambda$-paracompact space‎.