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Show that, is open then is open.

Real Analysis

Let and let be continuous map given by .
a) Show that, is open then is open.
b) Show that f is an identification map.

or,
Let A: {xEn : x≥0} and let f:n → A be continuous map given by f(x):=|x|...

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This solution is comprised of a detailed explanation of the continuous map.
It contains step-by-step explanation for the following problem:
Let and let be continuous map given by .
a) Show that, is open then is open.
b) Show that f is an identification map.

Solution contains detailed step-by-step explanation.

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