Jakobian's user avatar
Jakobian's user avatar
Jakobian's user avatar
Jakobian
  • Member for 6 years, 7 months
  • Last seen this week
  • Bernstein set
14 votes
4 answers
646 views

Prove that $\left(1+2^{-1+b^{\left(\frac{1}{b-1}\right)}}\right)^b < 1+2^{-1+b^{\left(\frac{b}{b-1}\right)}}$ for all $b>2$.

14 votes
2 answers
213 views

Does locally compact, locally connected, connected metrizable space admit a metric with connected balls?

13 votes
0 answers
575 views

Adjunction of pointed maps is a homeomorphism?

10 votes
1 answer
176 views

Recursive formula for number of $n\times m\times p$ cubes of $0$'s and $1$'s with a special property.

10 votes
2 answers
251 views

Why is $\text{Homeo}_p(X)$ not a topological group for $X = \mathbb{R}^2$?

9 votes
1 answer
211 views

Mysior plane is not realcompact

6 votes
1 answer
248 views

The lattices $M_3$ and $N_5$

6 votes
2 answers
89 views

What's $\kappa=\min\{\nu : [0, \omega_1)\text{ embedds into }\mathbb{R}^\nu\}$?

6 votes
1 answer
97 views

Proof of uniqueness of real-closure of an ordered field

6 votes
1 answer
968 views

Action of fundamental group on a fiber

6 votes
1 answer
225 views

"Commutative categories"

5 votes
0 answers
100 views

Group $G =\langle a, b\rangle$ with $a^{p^m}=b^{p^r}=1$ and $b^{-1}ab=a^n$ has commuting subgroups.

5 votes
0 answers
121 views

Borel isomorphisms between perfect Polish spaces and their "rank"

5 votes
1 answer
75 views

$T_1$ spaces and "rank" of a set

5 votes
1 answer
200 views

How strong is SierpiƄski theorem about continua?

5 votes
1 answer
85 views

$E[f(X, Y)|\mathscr{F}]$ where $X$ is independent of $\mathscr{F}$ and $Y$ is $\mathscr{F}$ measurable.

5 votes
1 answer
154 views

What's the preferred term researchers like to use in the theory of magmas/groupoids?

5 votes
1 answer
76 views

Number of $\eta_1$-sets of size continuum under $\lnot$CH

5 votes
1 answer
149 views

Are Stonean spaces a reflective subcategory of topological spaces with continuous open maps?

4 votes
2 answers
151 views

Does there exist a second-countable locally connected space with no countable basis of connected sets?

4 votes
0 answers
36 views

Integration by substitution, monotone version for Henstock-Kurzweil integrals

4 votes
1 answer
80 views

Gauge integral on infinite-dimensional Banach space and differentiability

4 votes
1 answer
128 views

Fixed point property and compactness

4 votes
1 answer
96 views

Thomas plank is not realcompact

4 votes
0 answers
92 views

Is Bing's discrete extension space realcompact?

4 votes
1 answer
131 views

Which open sets can be written down as an open ball with respect to some metric?

4 votes
1 answer
110 views

For what values of $n$ is $\ln(n)/\pi$ irrational?

3 votes
0 answers
85 views

What are uniform spaces actually useful for?

3 votes
2 answers
143 views

Limit of $\sum_{i=1}^k a_iz_i^n$ as $n\to\infty$ where $|z_i| = 1$

3 votes
1 answer
56 views

Is a nowhere locally compact, $\sigma$-compact space necessarily countable?