منابع مشابه
3 Witten ’ s conjecture and Property P
The purpose of this note is to prove the conjecture. The ingredients of the argument are: (a) Taubes’ theorem [11] on the non-vanishing of the SeibergWitten invariants for symplectic 4-manifolds; (b) the theorem of Gabai [7] on the existence of taut foliations on 3-manifolds with non-zero betti number; (c) the construction of Eliashberg and Thurston [4], which produces a contact structure from ...
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in this article, we study the artin-rees property in c(x), in the rings of fractions of c(x) and in the factor rings of c(x) . we show that c(x)/(f) is an artin-rees ring if and only if z(f) is an open p-space. a necessary and sufficient condition for the local rings of c(x) to be artin-rees rings is that each prime ideal in c(x) becomes minimal and it turns out that every local ring ...
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In this paper we present the model of decision P systems with external output and prove the following main result: if there exists an NP–complete problem that cannot be solved in polynomial time, with regard to the input length, by the deterministic variant of such P systems, constructed in polynomial time, then P 6= NP . From Zandron-FerretiMauri’s theorem it follows that if P 6= NP then no NP...
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The pebbling number of a graph G, f(G), is the least m such that, however m pebbles are placed on the vertices of G, we can move a pebble to any vertex by a sequence of moves, each move taking two pebbles o one vertex and placing one on an adjacent vertex. It is conjectured that for all graphs G and H , f(G H) f(G)f(H). Let Cm and Cn be cycles. We prove that f(Cm Cn) f(Cm)f(Cn) for all but a ni...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2004
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2004.8.295