Insertion of a continuous function

A new look at some classical theorems on continuous functions on normal spaces

“…Again, the proof is more direct than those [6] and [5]. Note that there are also various more or less abstract versions of the insertion theorems of Michael and Dowker (see [1], [2], [7] [11]). Our proofs are dierent from all of them.…”

Strong insertion of a $\gamma-$ continuous function

“…The following definitions are modifications of conditions considered in [10]. A property P defined relative to a real-valued function on a topological space is a γ−property provided that any constant function has property P and provided that the sum of a function with property P and any γ−continuous function also has property P .…”

Inserting measurable functions precisely

“…Lower and upper A-measurable functions with respect to A = Coz X have been considered in [2], [9], [12] among others.…”