Incomparable compactifications of the ray with Peano continuum as remainder

Abstrakt

We prove that for every fixed nondegenerate Peano continuum X there exists a continuum-sized family of compactifications of the ray with X as remainder that is pairwise incomparable by continuous mappings.

Klíčová slova

• Incomparable
• compactifications
• ray
• Peano
• continuum