Let-X-in-the-standard-topology-Take-the-partition-X-1-0-0-1-1-2-Describe-the-open-sets-in-the-resulting-quotient-topology-on-X-

/in /by

Let

X = ℝ
 in the standard topology. Take the partition

X* = {…,(−1,0],(0,1],(1,2],…}
.

Describe the open sets in the resulting quotient topology on

X*.

 
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