A note on a sum theorem for dimension K-Ind

Main results are:1.Let Y be a closed subspace of a hereditarily normal X such that K- and K-Ind(X∖Y)⩽n. Then K-.2.Let X be a perfectly normal space. Then a finite sum theorem for dimension K-Ind holds in X if and only if K-Ind is monotonic in X.We denote by K a non-empty set of finite complete simplicial complexes.