Space crossing numbers
... Lemma 10. If C1 , C2 , C3 , C4 ⊂ R3 are four disjoint continuous closed curves, and lk(C1 , C2 ) and lk(C3 , C4 ) are non-zero, then there is at least one line that intersects all the four curves. This lemma is similar to Corollary 1 of Theorem 2 in [Vir09]. That corollary asserts that if the four c ...
... Lemma 10. If C1 , C2 , C3 , C4 ⊂ R3 are four disjoint continuous closed curves, and lk(C1 , C2 ) and lk(C3 , C4 ) are non-zero, then there is at least one line that intersects all the four curves. This lemma is similar to Corollary 1 of Theorem 2 in [Vir09]. That corollary asserts that if the four c ...
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THE DYNAMICAL MORDELL-LANG PROBLEM FOR NOETHERIAN SPACES
... a periodic subvariety. He showed, for any morphism of varieties over a field of characteristic 0, that S cannot be very dense of order 2 (see [7, Définition 2]); this is a weaker conclusion than being of Banach density 0 (which is the result of our Proposition 1.6). We also note that Denis [7, Ques ...
... a periodic subvariety. He showed, for any morphism of varieties over a field of characteristic 0, that S cannot be very dense of order 2 (see [7, Définition 2]); this is a weaker conclusion than being of Banach density 0 (which is the result of our Proposition 1.6). We also note that Denis [7, Ques ...
