Problems in low-dimensional topology. (English) Zbl 0892.57013

Quinn, Frank

Sci. Bull. Josai Univ. Spec. Iss., No. 2, 97-104 (1997).

This paper was developed from a lecture given by the author at the International Conference on Surgery and Controlled Topology held at Josai University in September 1996. It collects problems in four-dimensional topology, especially concerning embeddings of 2-disks and 2-spheres needed for surgery and \(s\)-cobordisms of 4-manifolds, uniqueness questions for 4-manifolds arising from the study of isotopies, and handlebody structures on 4-manifolds. Finally, the author discusses also a triangulation problem for certain 3- and 4-dimensional stratified spaces.

Reviewer: A.Cavicchioli (Modena)

MSC:

57N13

Topology of the Euclidean \(4\)-space, \(4\)-manifolds (MSC2010)

Keywords:

\(s\)-cobordism; isotopy; handlebody structure; stratified space; surgery