We consider ribbon n-knots for n â‰¥ 2. For such knots we define a set of moves on ribbon disks, and show that any two ribbon disks for isotopic knots are related by a finite sequence of such moves andâ€¦ (More)

An extension of the peripheral group and its associated structures such as the meridian and longitude to knots of arbitrary dimension and genus is studied. The analogous structures are shown toâ€¦ (More)

We consider the arguments of Berkeley against the thinkability of realism. We show that in fact Berkeley's assumptions do not merely lead to the conclusion that realism is unthinkable, but that inâ€¦ (More)

S. Satoh has defined a construction to obtain a ribbon torus knot given a welded knot. This construction is known to be surjective. We show that it is not injective. Using the invariant of theâ€¦ (More)

The photodissociation of vibrationally excited Cl(2)(v = 1) has been investigated experimentally using the velocity mapped ion imaging technique. The experimental measurements presented here areâ€¦ (More)

Velocity mapped ion imaging and resonantly enhanced multiphoton ionization time-of-flight methods have been used to investigate the photodissociation dynamics of the diatomic molecule Cl(2) followingâ€¦ (More)

Joyce has shown that the fundamental quandle of a classical knot can be derived from consideration of the fundamental group and the peripheral structure of the knot, and also that the group and muchâ€¦ (More)

We consider codimension-2 ribbon knottings of circles and 2-spheres. We find that if a given ribbon knot has two ribbon disks, those disks are related by ambient isotopy together with a finite numberâ€¦ (More)