On compactness and connectedness of the paratingent
Wojciech Zygmunt (2016)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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In this note we shall prove that for a continuous function , where , the paratingent of at is a non-empty and compact set in if and only if satisfies Lipschitz condition in a neighbourhood of . Moreover, in this case the paratingent is a connected set.