Re: topology question

Hello,

Snis Pilbor wrote:

It's well known there are topologies which are connected but not path
connected. But can the same be true if the space has only finitely
many points? It seems to me that in the finite case, connected ought
to imply simply connected, but I can't prove it. Or maybe there's a
counterexample..

What do you understand as a connected space with finitely many points...? Finite sets are usually given the discrete topology, which, clearly, is not connected.

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