EntityQ1090009· pop 8· linked from 48 articlesproper mapSign in to savecontinuous map such that preimages of compact sets are compactConnectionscontinuous functionEntityimageEntitycompact spaceEntitySpringer Science+Business MediaEntityopen and closed mapsEntitymathematicsEntityInternational Standard Book NumberEntityfunctionEntitytopologyEntitydigital object identifierEntityOCLC, Inc.Entityalgebraic geometryEntitymetric spaceEntityanalogyEntityOxford University PressEntitytopological spaceEntitymanifoldEntitysurjective functionEntityalgebraic topologyEntityNicolas BourbakiEntityCategoriesTheory of continuous functions