47

Answers
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3
Fundamental Examples
6
What are your favorite instructional counterexamples?
5
Elementary+Short+Useful
14
Quick proofs of hard theorems
4
What are some reasonable-sounding statements that are independent of ZFC?
11
How many orders of infinity are there?
2
Books you would like to see translated into English.
7
Writing papers in pre-LaTeX era?
12
What is your favorite proof of Tychonoff’s Theorem?
4
What are some results in mathematics that have snappy proofs using model theory?
15
Can Cantor set be the zero set of a continuous function?
20
Is R^3 the square of some topological space?
5
The core question of topology
8
What are interesting families of subsets of a given set?
5
Locally compact Hausdorff space that is not normal
1
Subset of the plane that intersects every line exactly twice
1
Various concepts of “closure” or “completion” in mathematics
13
Are nets and filters useful in geometry and topology?
0
Independence of the continuum hypothesis on ZFC
4
The Root of a Line
2
Naturally occuring groups with cardinality greater than the reals.
2
Topological spaces that resemble the space of irrationals
8
Discrete subspaces of Hausdorff spaces
3
Topological spaces, uncountable subsets and separability
5
Must a linearly ordered, separable space be metrizable?
1
Is a connected separable locally euclidean Hausdorff topological space second countable?
1
metrizable space
0
How can one characterise compactness-by-experiment?
2
Topology generated by the collection of open sets
3
Question about closed projection
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