We prove that:I. If L is a T1 space, |L|>1 and d(L)≤κ≥ω, thenthere is a submaximal dense subspace X of L2κ such that |X|=Δ(X)=κ. II. If c≤κ=κω<λ and 2κ=2λ, then there is a Tychonoff pseudocompact globally and locally connected space X such that |X|=Δ(X)=λ and X is not κ+-resolvable. III. If ω1≤κ<λ and 2κ=2λ, then there is a regular space X such that |X|=Δ(X)=λ, all continuous real-valued functions on X are constant (so X is connected) and X is not κ+-resolvable.