Publikationsdatum:
1981-01-01
Beschreibung:
LetSbe closed,m-convex subset ofRd,Slocally a fulld-dimensional, withQthe corresponding set of lnc points ofS. Ifqis an essential lnc point of orderkthen for some neighborhoodUofq,Q⋂Uis expressible as a union ofkor fewer(d−2)-dimensional manifolds, each containingqForScompact, if to everyq∈Qthere corresponds ak〉0such thatqis an essential lnc point of orderkthenQmay be written as a finite union of(d−2)-manifolds.Forqany lnc point ofSandNa convex neighborhood ofq,N⋂bdry S⊈QThat is,Qis nowhere dense inbdry S. Moreover, ifconv(Q⋂N)⫅SthenQ⋂Nis not homeomorphic to a(d−1)-dimensional manifold.
Print ISSN:
0161-1712
Digitale ISSN:
1687-0425
Thema:
Mathematik
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