David Cullen <

davecullen@gmail.com> wrote:

William Elliot <marsh@panix.com> wrote:

Let (S,d) a multi-point connected metric space.

Is there a multi-point path connected subspace of S?

Can you provide the definition of multipoint connected?

Let (S,d) a multi-point connected metric space.

Is there a multi-point path connected subspace of S?

Can you provide the definition of multipoint connected?

Multipoint mean has more than one point.

Connected means there are no clopen sets but

the empty set and the space itself.

As it turns out, Cantor's leaky tent or teepee

in Stien's "Counterexamples in Topology". is

an example negating the question.

[

Moderator's note:

Steen & Seebach

]

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