2 problems

Let $\mathbb{H}$ denote the Hawaiian earring group, and let $H$ be an uncountable homomorphic image of $\mathbb{H}$ that embeds in the fundamental group of a planar or one-dimensio…

Let $X$ and $Y$ be Peano continua, with $X$ planar and $Y$ a planar Peano continuum, and suppose the homomorphism conclusion of Theorem … should remain true when $X$ is planar inst…