limit point
limit point
Noun
pl: limit points
This term is a technical expression used exclusively within the fields of mathematical analysis and topology. It describes a point of accumulation where elements of a set cluster infinitely close, regardless of whether the point itself belongs to that set.
In a pedagogical context, it is often contrasted with an isolated point, which has a neighborhood containing no other points of the set. Because it is a compound noun referring to a specific mathematical entity, it follows standard English pluralization rules.
Meanings
Related Words
accumulation pointtopologyanalysiscalculussetsequencelimitconvergencedivergenceneighborhoodopen setclosed setclosureinteriorboundaryfrontiermetricdistanceepsilondeltapointelementsubsetsupremuminfimumcontinuumcompactnessdensitymanifoldspacemappingfunctioncontinuitydiscontinuityderivativeintegralseriessummationhomeomorphismisomorphismcardinalityordinalityinfinityasymptotefixed pointattractorstabilitycritical point