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15h
comment Integrating over the naturals. What does it mean?
What does it mean though, if you don't mind that type of question?
15h
accepted Integrating over the naturals. What does it mean?
15h
awarded  Socratic
16h
asked Integrating over the naturals. What does it mean?
1d
accepted How to make a topology out of $N$ that involves convergent / divergent sets.
1d
comment How to make a topology out of $N$ that involves convergent / divergent sets.
Okay, so all open sets in the topology are divergent but not all divergent sets are open.
1d
comment How to make a topology out of $N$ that involves convergent / divergent sets.
Okay, so $B$ is a divergent set yet not open.
1d
comment How to make a topology out of $N$ that involves convergent / divergent sets.
Okay, so you exhibited two sets that are neither open nor closed?
1d
comment How to make a topology out of $N$ that involves convergent / divergent sets.
I'm not sure what you mean, do you mean their complements are not closed?
1d
asked How to make a topology out of $N$ that involves convergent / divergent sets.
1d
revised Elemenatry topological proof of Erdos conjecture on Arithmetic Sequences
added 92 characters in body
1d
comment Elemenatry topological proof of Erdos conjecture on Arithmetic Sequences
Keeping this up since I put a lot of writing into it and it got starred. But it has an error which I will indicate in the post.
May
20
reviewed Approve simple-functions tag wiki excerpt
May
20
reviewed Approve dirichlet-convolution tag wiki excerpt
May
20
comment Elemenatry topological proof of Erdos conjecture on Arithmetic Sequences
@jgon fixed that. I use now closed sets and their pre-images being closed to prove continuity.
May
20
revised Elemenatry topological proof of Erdos conjecture on Arithmetic Sequences
added 382 characters in body; edited tags
May
20
revised Elemenatry topological proof of Erdos conjecture on Arithmetic Sequences
added 84 characters in body
May
20
comment Elemenatry topological proof of Erdos conjecture on Arithmetic Sequences
@jgon not so in this situation because I added "Now if arithmetic sequence length were bounded then we'd certainly have that this is so..." and the set $A$ of interest is such a set.
May
20
revised Elemenatry topological proof of Erdos conjecture on Arithmetic Sequences
added 377 characters in body
May
20
comment Elemenatry topological proof of Erdos conjecture on Arithmetic Sequences
Working on it. I had a question in there, but solved that. It's probably a proof verification