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A continuous map is a function between spaces that preserves continuity.
Let f : N1 → N2be a continuous map.
Note that is a completely continuous map.
This construction defines a continuous map.
Clearly, T is a continuous map.
For each for which let be a continuous map.
So, the map G is a compact continuous map.
It is clear that is a continuous map.
Assume that T is a sequentially weakly continuous map.
Clearly, S is a nondecreasing and continuous map.
Moreover, the mapping (2.11). is a linear continuous map of.
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