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  • 23 votes cast
Jul
24
answered Why are the sets $U_x$ disjoint in this proof of the non path-connectedness of the ordered square, $I_0^2$?
Jul
22
answered Does anyone understand this proof: If $A$ is closed and bounded $\implies A$ is sequentially compact.
Jun
20
asked How does one construct the Galois field extension $GF((2^2)^3)$?
Jun
7
asked How do I show that the following is a basis for the weak topology on $X$?
May
4
asked Is there an easy proof to this theorem due to Nagata?
Nov
18
asked If $H$ and $K$ are subgroups of a group G, and $a, b \in G$. How do I prove the following relations hold?
Sep
23
asked How do I show $|\frac{i\overline{z}}{2} - \frac{i}{2}|=|z - 1|?$
May
17
asked Connected spaces: is there a mistake in the example below from James Munkres' Topology?
Oct
21
asked How do I show that $\kappa^+ \le 2^\kappa$ for every cardinal $\kappa$?
May
6
asked How do I prove that an uncountable subset $S$ of $\mathbb{R}$ has the in-between property?
Dec
5
asked What's the difference between saying that there is no cardinal between $\aleph_0$ and $\aleph_1$ as opposed to saying that…
Dec
4
answered Why is $\omega$ the smallest $\infty$?
Dec
1
asked Is there a number that's right in the middle of this interval $(0, 1)$?
Aug
24
asked If $\kappa$ is a cardinal, $\aleph$ is any $\aleph$-number, and if $\kappa\leq\aleph$ then $\kappa$ can be well ordered as well.
Aug
18
asked If $a, p$ are cardinals satisfying $2 p = p$ and $a+p=2^p,$ then $a \ge 2^p.$
Aug
14
asked How do you prove the trichotomy law for cardinal numbers?
Aug
11
answered How can one prove that the union of two finite sets is again finite, without the use of arithmetic?
Aug
11
asked There exists a finite set of natural numbers which isn't a proper subset of any other finite set of natural numbers?