Inscribing closed non-sigma-lower porous sets into Suslin non-sigma-lower porous sets

Abstract

The main aim of this paper is to prove that every non-sigma-lower porous Suslin set in a topologically complete metric space contains a closed non-sigma-lower porous subset.

In fact, we prove a general result of this type on ``abstract porosities''.

Keywords

• Inscribing
• closed
• non-sigma-lower
• porous
• Suslin
• non-sigma-lower
• porous
• sets