EntityQ5711485· pop 5· linked from 5 articleshemicompact spaceSign in to savetopological space that admits a sequence of compact subsets such that every compact subset of the space lies inside some compact set in the sequenceConnectionslocally compact spaceEntitymathematicsEntityInternational Standard Book NumberEntitytopologyEntitycontinuous functionEntitymetric spaceEntityunionEntitytopological spaceEntitynumber lineEntitycompact spaceEntityHausdorff spaceEntitySpringer Science+Business MediaEntityLindelöf spaceEntitymetrizable spaceEntitypseudometric spaceEntitycompact-open topologyEntityfirst-countable spaceEntityσ-compact spaceEntitynLabEntityJohn B. ConwayEntityCategoriesCompactness (mathematics)Properties of topological spaces