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

A property is said to be a topological<br>property if it is preserved by<br>homeomorphism. Suppose that R is<br>equipped with the usual topology, then the<br>boundedness and the closedness are not<br>topological properties because *<br>[0,1] is not homeomorphic to ]0,1[<br>R is homeomorphic to ]0,1[<br>R is homeomorphic to ]0, +o[<br>O 1-00,0] is homeomorphic to [0,+o[<br>

Extracted text: A property is said to be a topological property if it is preserved by homeomorphism. Suppose that R is equipped with the usual topology, then the boundedness and the closedness are not topological properties because * [0,1] is not homeomorphic to ]0,1[ R is homeomorphic to ]0,1[ R is homeomorphic to ]0, +o[ O 1-00,0] is homeomorphic to [0,+o[

Jun 05, 2022

SOLUTION.PDF

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

Get Answer To This Question

Related Questions & Answers

Submit New Assignment