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bio website facebook.com/aloiziomacedo
location Rio de Janeiro, Brazil
age 21
visits member for 1 year, 9 months
seen 10 hours ago

Mathematics Student


Oct
15
revised How to visualize topological differences between $\mathbb{R}P^{2n}$ and $\mathbb{C}P^n$
added 3 characters in body; edited title
Oct
12
comment How to visualize topological differences between $\mathbb{R}P^{2n}$ and $\mathbb{C}P^n$
Sorry, I did not make it clear. I am comparing $\mathbb{R}P^{2n}$ with $\mathbb{C}P^{n}$, yes. Thanks for the remark.
Oct
12
asked How to visualize topological differences between $\mathbb{R}P^{2n}$ and $\mathbb{C}P^n$
Sep
5
comment $\sigma$ -algebra is the smallest collection of sets which…
But the gerenerating processes are different. On one, I can take complements. On the other, I can't. How can you guarantee that they generate the same things? Sorry, it may be evident, but I'm not getting it.
Sep
5
comment $\sigma$ -algebra is the smallest collection of sets which…
Yes, but I have to prove that complements of everything of the collection, not only open sets, are there.
Sep
5
asked $\sigma$ -algebra is the smallest collection of sets which…
Jul
2
awarded  Curious
May
13
asked Is the “set” of all algebraic extensions a set?
May
5
accepted Understanding proof that $\pi$ is irrational
May
5
asked Understanding proof that $\pi$ is irrational
May
2
accepted Does existence of a non-continuous linear functional depend on Axiom of Choice?
May
1
comment How can I define $e^x$ as the value of infinite series?
might be useful: math.stackexchange.com/a/763121/59234
Apr
30
comment Does existence of a non-continuous linear functional depend on Axiom of Choice?
Well, if you discussed this several times before, I'll not ask you to do it once again... :P, but I would be glad if you could provide me the discussions (more cannot be worse).
Apr
30
comment Does existence of a non-continuous linear functional depend on Axiom of Choice?
@AsafKaragila sorry if this is a duplicate, I did a quick search and did not find anything related
Apr
30
revised Does existence of a non-continuous linear functional depend on Axiom of Choice?
It may not be good to call arbitrary spaces "infinite-dimensional" when there is no choice.
Apr
30
comment Does existence of a non-continuous linear functional depend on Axiom of Choice?
haha, I didn't mean it that way. I think that the strength of requiring that "EVERY..." requires the strength of choice... and I just noted a blunder in my formulation, I'll correct it
Apr
30
asked Does existence of a non-continuous linear functional depend on Axiom of Choice?
Apr
23
comment When does open and connected imply path-connected?
Thank you, that takes care of half the trouble. What about topological spaces in general?
Apr
23
asked When does open and connected imply path-connected?
Apr
22
awarded  Nice Question