Let be closed subsets of a connected space such that .

How to show are connected, if is connected.

I traied this:

Suppose is not connected and let be sepration of , then,

must lie in (say) So,

form separation of x

is this right

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- Oct 11th 2011, 07:09 PMrqeebclosed subsets of a connected space X
Let be closed subsets of a connected space such that .

How to show are connected, if is connected.

I traied this:

Suppose is not connected and let be sepration of , then,

must lie in (say) So,

form separation of x

is this right - Oct 12th 2011, 02:48 AMPlatoRe: closed subsets of a connected space X
- Oct 12th 2011, 05:10 AMrqeebRe: closed subsets of a connected space X