# Path connected problems

(See attached file for full problem description with proper symbols)

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? Show that, for , the sphere is path connected.

? Show that if f:X->Y is a continuous map between topological spaces and X is path connected, then the image f(Y) is also path connected.

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https://brainmass.com/math/synthetic-geometry/55190

#### Solution Summary

This solution is comprised of a detailed explanation to

? Show that, for , the sphere is path connected.

? Show that if f:X->Y is a continuous map between topological spaces and X is path connected, then the image f(Y) is also path connected.

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