4 problems

Let $G$ be a compact group acting continuously and transitively on a compact Hausdorff space $X$. A space of continuous functions on $X$ is called minimal if it is closed, invarian…

Marovt's conjecture. The corresponding results for order-preserving and multiplicative bijections on $C(X,I)$ remain valid without assuming that $X$ is first countable.

Let $0<r_k<2^{k-10}$ be an increasing sequence tending to infinity. Define the sequence $(bb_s)$ by $bb_0=0$ and … For a function $f\turns C(a4)$ whose Fourier coefficients vanish…

Non-2-lineability conjecture. The set