## Question

###### By exhibiting an open cover that does not have a finite subcover prove that the following spaces are not compact.â€¢The space (0, 1) âˆª (2, 3) as a subspace of R with the standard topology.â€¢ The open ball B(0; 1) in R2 with the topology induced by the Euclidean metric. â€¢ The interval (0, 1] as a subspace of R with the standard topology.

By exhibiting an open cover that does not have a finite subcover prove that the following spaces are not compact.â€¢The space (0, 1) âˆª (2, 3) as a subspace of R with the standard topology.â€¢ The open ball B(0; 1) in R2 with the topology induced by the Euclidean metric. â€¢ The interval (0, 1] as a subspace of R with the standard topology.

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