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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: help with misprint (?) Counterexamples in topology
Replies: 9   Last Post: Feb 15, 2013 8:54 AM

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fom

Posts: 1,030
Registered: 12/4/12
help with misprint (?) Counterexamples in topology
Posted: Feb 11, 2013 1:25 AM
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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

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