text4.1. Let n be a positive integer. Let X be an n-manifold. Show that X admits an open covering {Ui C X}iertogether with homeomorphisms di: Ui – R” for all i E I. 4.2. Let S be a surface with boundary (as defined inclass). Show that S admits an open covering {Vj C S}jes together with homeomorphisms v; of Vi w… Show more… Show moreMath Geometry MAST 30024
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