56

Answers

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3

Nearly all math classes are lecture+problem set based; this seems particularly true at the graduate level. What are some concrete examples of techniques other than the “standard math class” used at the *Graduate* level?

5

Defining a topology in the Power Set

2

an elementary substructure of a natural numbers ultrapower

1

Uniformities generated by metrics.

3

Fixed point theorems

1

Equivalence relations in suplattices

3

When is the support of a Radon measure separable?

5

complete metric space

22

First-order axiomatization of free groups

4

Embedding Theorem for topological spaces, and in general

7

Importance of separability vs. second-countability

7

Showing a filter with a certain property on the power set of $\mathbb{Z}$ is a one point filter

1

A conjecture on closed discrete subset

4

Cohen algebra (generalization)

5

weak*closure of {f:||f||=1} in dual.

7

Product of two sigma fields

4

IBN for algebraic theories

2

What’s a magical theorem in logic?

1

Order-isomorphic down-set lattices

9

Stone–Čech Compactification of $\mathbb{Z}$ with Fürstenberg Topology

13

Is it consistent with ZFC that there is a translation-invariant extension of Lebesgue measure that assigns nonzero measure to some set of measure less than c?

-12

Examples of interesting false proofs

1

Is there an analog of ‘Directed Graph’ for topological spaces?

-5

Mathematical Advice for Interested Highschool Students

5

Periodic point-free maps and free ultrafilters.

1

Products of Boolean algebras and probability measures thereon

5

A question on metrizable space

4

Maximal ideals of the algebra of measurable functions

0

General criteria for exhaustion by compact sets

4

An open problem on general topology