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# Tag Archives: Axiom of Choice

## Infinity and Foundation

After the reviving effect of a week’s holiday, I have been thinking about Zermelo–Fraenkel set theory, inspired by a very nice student project I supervised (about which I hope to say something here sometime soonish). I have come across a … Continue reading

## Thoughts on topology

As well as Advanced Combinatorics, I have been teaching Topology this semester. This is something I had not taught for many years. I was only teaching half the module: the first half had been given, and the notes prepared, by … Continue reading

Posted in teaching
Tagged Axiom of Choice, Baire Category Theorem, metric spaces, product spaces, Tychonoff's theorem
4 Comments

## Automorphisms of groups

I set a question to my group theory class. It is quite easy until suddenly you find yourself falling off a cliff into deep water. Indeed, I don’t know the answer to the second part of this question. Show that … Continue reading

Posted in exposition, open problems
Tagged automorphism, Axiom of Choice, MathOverflow, vector spaces
4 Comments