Example：10.1021/acsami.1c06204 or Chem. Rev., 2007, 107, 2411-2502
Distances between surfaces in 4‐manifolds Journal of Topology (IF1.582), Pub Date : 2020-05-02, DOI: 10.1112/topo.12148 Oliver Singh
If and are homotopic embedded surfaces in a 4‐manifold, then they may be related by a regular homotopy (at the expense of introducing double points) or by a sequence of stabilisations and destabilisations (at the expense of adding genus). This naturally gives rise to two integer‐valued notions of distance between the embeddings: the singularity distance and the stabilisation distance . Using techniques similar to those used by Gabai in his proof of the 4‐dimensional light bulb theorem, we prove that .