Abstract:

The concepts of L-smooth less strong irresolute mapping, L-smooth lessstrong irresolute open mapping, L-smooth less strong irresolute closed mapping as well as L-smooth less strong irresolute homomorphic mapping are introduced inL-smooth topological spaces. Their equivalent characterizations are given,and their relationships are discussed.

Key words: L-smooth topological spaces;　L-smooth r-lessstrong semi-open sets;　L-smooth less strong irresolute mapping