Let X be a non-degenerate ordered set with the order topology. A non-degenerate set is a...

Let X be a non-degenerate ordered set with the order topology. A non-degenerate set is a set with more than one
element.

Show the following:

(1) every open interval is open, (2) every closed interval is closed, (3) every open
ray is open, and (4) every closed ray is closed.

Please note: Its a topology question.

Expert Solution

Colby Messinger answered 1 month ago

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Let X be a non-degenerate ordered set with the order topology. A non-degenerate set is a...

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