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Will Brian's user avatar
Will Brian's user avatar
Will Brian's user avatar
Will Brian
  • Member for 9 years, 3 months
  • Last seen this week
32 votes
2 answers
1k views

Can $[0,1]^4$ be partitioned into copies of $(0,1)^3$?

30 votes
3 answers
2k views

Is there a subset of the plane that meets every line in two open intervals?

20 votes
1 answer
616 views

If $S_\mathbb N$ is partitioned into finitely many pieces, must one piece contain a "skew copy" of every countable group?

14 votes
1 answer
257 views

Is there a countably infinite closed interval in the lattice of topologies?

13 votes
1 answer
382 views

Getting a model of $\mathsf{ZFC}$ that fails to nicely cover an inner model

13 votes
2 answers
897 views

Does van der Waerden's Theorem hold for $\omega_1$?

12 votes
3 answers
539 views

Can the real line be embedded in a space $X$ such that all the nonempty open subsets of $X$ are homeomorphic?

10 votes
0 answers
157 views

Can the nowhere dense sets be more complicated than the meager sets?

9 votes
2 answers
519 views

Can you fit a $G_\delta$ set between these two sets?

8 votes
1 answer
384 views

Given four conditionally convergent series, is there a single sequence of naturals such that each corresponding subseries sums to $\pm\infty$?

8 votes
0 answers
186 views

Can every Borel set be partitioned into $\leq\!\aleph_1$ $F_{\sigma \delta}$ sets?

8 votes
1 answer
423 views

The Hales-Jewett Theorem for an infinite alphabet

8 votes
1 answer
652 views

Is there a universal $\omega$-limit set?

6 votes
3 answers
415 views

Spaces that can't be embedded in the plane

5 votes
1 answer
133 views

What is the expected value of the submeasure of a random set?

3 votes
0 answers
298 views

For which partial orders is the Axiom of Choice necessary to prove the existence of ultrafilters?

3 votes
1 answer
507 views

Is this version of van der Waerden's Theorem consistent with ZFC?