Preserving continuity by Zadeh extension and invariance of separation axioms under surjections
This note provides conditions under which Zadeh extension of a map between L -topological spaces preserves semicontinuity and continuity of functions with values in the L-unit interval. Invariance of complete L-regularity under continuous open closed surjections is established among others. (C) 2012 Elsevier B.V. All rights reserved.
zadeh extension l-unit interval lower semicontinuous upper semicontinuous complete l-regularity axioms open map closed map