2025/08/11 by Malicki, Maciej
#03C66 #03C75 #03E15 #FOS: Mathematics #Logic (math.LO)
paper · doi:10.48550/arxiv.2508.07765
A topological space is almost locally compact if it contains a dense locally compact subspace. We generalize a result from \citeMa, showing that isomorphism on Borel classes of almost locally compact Polish metric structures is always classifiable by countable structures. This allows to remove a gap in the proof presented in \citeMa of a positive answer to a question of Gao and Kechris, who asked whether isometry of locally compact Polish metric spaces is classifiable by countable structures.