- #1
kakarukeys
- 190
- 0
let
[tex]A \hookrightarrow B[/tex]
be a continuous inclusion map from A to B.
A, B are two topological spaces. [tex]A \subset B[/tex]
what can we say about the induced map between topological dual spaces
[tex]B^* \hookrightarrow A^* [/tex]?
is it continuous and injective?
[tex]A \hookrightarrow B[/tex]
be a continuous inclusion map from A to B.
A, B are two topological spaces. [tex]A \subset B[/tex]
what can we say about the induced map between topological dual spaces
[tex]B^* \hookrightarrow A^* [/tex]?
is it continuous and injective?