4 problems

Compactness conjecture for Nyikos inverse topological semigroups
Compactness conjecture. Every Nyikos inverse topological semigroup is compact.
openFrom papersinverse-semigroups set-theoretic-topology topological-semigroups
0 responses
6
Conjecture on the size of conjugacy classes of canonical idempotents in free inverse semigroups
Conjugacy-class cardinality conjecture. The conjugacy class of $e$ has
openFrom papersinverse-semigroups semigroup-theory
0 responses
7
The Tarski alternative for Boolean inverse monoids
The Tarski alternative. Exactly one of the following is true:
openFrom papersamenability boolean-inverse-monoids inverse-semigroups
0 responses
4
Finite-order injectivity conjecture for inverse semigroups
Finite-order injectivity conjecture. Then
openFrom papersinverse-semigroups semigroup-automorphisms
0 responses
3