A note on Golomb topologies
In 1959 Golomb dened a connected topology on Z. An analogous Golomb topology on an arbitrary integral domain was dened rst by Knopfmacher- Porubsky [KP97] and then again in a recent work of Clark [Cl17]. Here we study properties of Golomb topologies.
Mathematics Subject Classication (2010): 13G05, 54G99.
Key words: Golomb space, Brown space, semiprimitive, homeomorphism problem.