A property is sald to be a topological propertyif it is preserved by homeomorphism. Suppose that Ris equipped with the usual topology, then the boundedness and the closedness are not topological...


A property is sald to be a topological propertyif it is preserved by<br>homeomorphism. Suppose that Ris equipped with the usual topology, then the<br>boundedness and the closedness are not topological properties because<br>O 10A1 is not homeomorphic to JC,1<br>ORIshomeGmotbhic to 01<br>

Extracted text: A property is sald to be a topological propertyif it is preserved by homeomorphism. Suppose that Ris equipped with the usual topology, then the boundedness and the closedness are not topological properties because O 10A1 is not homeomorphic to JC,1 ORIshomeGmotbhic to 01

Jun 05, 2022
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