منابع مشابه
Distinguishing Bing-whitehead Cantor Sets
Bing-Whitehead Cantor sets were introduced by DeGryse and Osborne in dimension three and greater to produce examples of Cantor sets that were non standard (wild), but still had simply connected complement. In contrast to an earlier example of Kirkor, the construction techniques could be generalized to dimensions bigger than three. These Cantor sets in S are constructed by using Bing or Whitehea...
متن کاملCovering Link Calculus and Iterated Bing Doubles
We give a new geometric obstruction to the iterated Bing double of a knot being a slice link: for n > 1 the (n + 1)st iterated Bing double of a knot is rationally slice if and only if the nth iterated Bing double of the knot is rationally slice. The main technique of the proof is a covering link construction simplifying a given link. We prove certain similar geometric obstructions for n ≤ 1 as ...
متن کاملCanonical genus and the Whitehead doubles of pretzel knots
We prove, for an alternating pretzel knot K, that the canonical genus of its Whitehead doubles W (K) is equal to the crossing number c(K) of K, verifying a conjecture of Tripp in the case of these knots.
متن کاملCanonical Genus and the Whitehead Doubles of Certain Alternating Knots
We prove, for an alternating pretzel knot K, that the canonical genus of its Whitehead doubles W (K) is equal to the crossing number c(K) of K, verifying a conjecture of Tripp in the case of these knots.
متن کاملAlgebraic and Heegaard-floer Invariants of Knots with Slice Bing Doubles
If the Bing double of a knot K is slice, then K is algebraically slice. In addition the Heegaard–Floer concordance invariants τ , developed by Ozsváth-Szabó, and δ, developed by Manolescu and Owens, vanish on K. For a knot K ⊂ S, the Bing double, denoted B(K), is the two component link illustrated schematically in Figure 1. Within the box the two strands run parallel along a diagram for K, and ...
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ژورنال
عنوان ژورنال: Journal of Topology
سال: 2012
ISSN: 1753-8416
DOI: 10.1112/jtopol/jts019