The following characterization of fully closed maps is proved: a quotient map between regular spaces is fully closed if and only if it coincides with the fiber product of elementary maps between regular spaces.
We investigate the question of when a continuous mapping between subspaces of nonstandard hulls has a uniform lifting.2000 Mathematics Subject Classification 03H05, 54J05 (primary); 54C20, 54D20, 54D65 (secondary)
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