THEOREM 16.4 | PROVE THAT IF Y IS CONVEX IN X THEN ORDER TOPOLOGY ON Y IS THE SUBSPACE TOPOLOGY ON Y

PROOF OF THE RESULTS USING IN THIS THEOREM PDF: https://drive.google.com/file/d/1tusk... THEOREM AND PROOF IN PDF: https://drive.google.com/file/d/1xhbl...

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THEOREM 17.4 | BASED ON THE CLOSURE

THEOREM 17.11 | EVERY SIMPLY ORDERED SET IS A HAUSDORFF SPACE IN A ORDERED TOPOLOGY
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THEOREM 17.11 | EVERY SIMPLY ORDERED SET IS A HAUSDORFF SPACE IN A ORDERED TOPOLOGY

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