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 2 hours ago

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Considering the set X = {1,2,3,4,5,6,7,8}, calculate a Tx topology on X such that the following...

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Let X be a non-empty set and P(X) its power set. Then (P(x), symetric difference, intersection)...

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let R be a ring; X a non-empty set and (F(X, R), +, *) the ring...

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1: Let X be the set of all ordered triples of 0’s and 1’s. Show that...

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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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