Basic Analysis I — Real Analysis · Problem 7.5.5

Metric Spaces — Jiri Lebl

Mathematics — Real Analysis · continuous-functions

Problem

Suppose f:X→Yf : X \to Y is continuous for metric spaces (X,dX)(X, d_X) and (Y,dY)(Y, d_Y). Show that if XX is connected, then f(X)f(X) is connected.

Related theory

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