Problems in homotopy theory
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About this

This is a place that’s meant to store information about open problems in homotopy theory and connected subjects, and (to the extent possible) some information about what their background is and what has been tried.

If you have stumbled upon this at random, you should feel free to read around, or make alterations if you feel that some further information would be useful. We are actively soliciting problems from those in the field; if we have not explicitly asked you, we are still interested.

The long-term home for this list is still in flux.

Contributed problems

Stable homotopy theory

Unstable homotopy theory

Equivariant homotopy theory

Motivic homotopy theory

Rational homotopy theory?

Applications

Problems from the E-theory seminar

Uncategorized problems

Resources

Problems from Hovey's list

Nonabelian algebraic topology