fom
Posts:
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Registered:
12/4/12


help with misprint (?) Counterexamples in topology
Posted:
Feb 11, 2013 1:25 AM


I am wondering about diagram for example 100, Minimal Hausdorff Topology.
The "special" basis neighborhoods in the diagram do not seem to coincide with the defining conditions.
The second coordinate has j>n for that n indexing the basis neighborhood, but the diagram seems to indicate j<n.
Also, if I am correct about the error in the diagram, then should not the inequality be changed to j>=n so that there is a basis neighborhood associated with the first row of the diagram as with every other row?
I am probably just misreading the definition. But it has me confused.
Thanks

