scholarly journals On factorial double solids with simple double points

2007 ◽  
Vol 208 (1) ◽  
pp. 361-369 ◽  
Author(s):  
Kyusik Hong ◽  
Jihun Park
Keyword(s):  
Double Points

The Double Points of Mathieu's Differential Equation

1969 ◽  
Vol 23 (105) ◽  
pp. 97 ◽  
Author(s):  
G. Blanch ◽  
D. S. Clemm
Keyword(s):  
Differential Equation ◽  
Double Points

scholarly journals Simulated and measured soil wetting patterns for overlap zone under double points sources of drip irrigation

2011 ◽  
Vol 10 (63) ◽  
pp. 13744-13755 ◽  
Author(s):  
Shan Yuyang ◽  
Wang Quanjiu ◽  
Wang Chunxia
Keyword(s):  
Drip Irrigation ◽  
Double Points ◽  
Soil Wetting

scholarly journals The Nash problem of arcs and the rational double points D_n

2008 ◽  
Vol 58 (7) ◽  
pp. 2249-2278 ◽  
Author(s):  
Camille Plénat
Keyword(s):  
Double Points

UNKNOTTING OF PSEUDO-RIBBON n-KNOTS

2004 ◽  
Vol 13 (02) ◽  
pp. 259-275 ◽  
Author(s):  
KYOUHEI YOSHIDA
Keyword(s):  
Disjoint Union ◽  
The Self ◽  
Natural Projection ◽  
Double Points

Let K be a classical knot in ℝ3. We can deform the diagram of K to that of a trivial knot by changing the overcrossings and undercrossings at some double points of the diagram of K. We consider the same problem for higher dimensinal knots. Let n≥2 and π:ℝn+2=ℝn+1×ℝ→ℝn+1 denote the natural projection map. A pseudo-ribbon n-knot is an n-knot f:Sn→ℝn+2 such that the self-intersection set of π◦f:Sn→ℝn+1 consists of only double points and is homeomorphic to a disjoint union of (n-1)-spheres. We prove that for n≠3,4, the projection (π◦f)(Sn)⊂ℝn+1 of any pseudo-ribbon n-knot f is the projection of a trivial n-knot.

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