トポロジー一の研究

Cerf, there is no obstruction for two pseudo-isotopic diffeomorphisms to be isotopic for simply connected manifolds of dimension at least five.. Thus Theorem

Meilstrup, Classifying homotopy types of one-dimensional Peano continua, 2005, Master Thesis, Brigham Young

Give necessary and sufficient conditions for a connected finite-dimensional compactum $X$ to have the pointed shape of a..

It was recently proved by Cao and Esocobar that the Euclidean isoperimetric inequality remains true in a simply-connected, complete, piecewise-linear space which is nonpositively

Abstract We present constructions of simply connected symplectic 4- manifolds which have (up to sign) one basic class and which fill up the geographical region between the

Theorem 2.2 There are simply connected homeomorphic but non-dieomor- phic smooth 4 {manifolds X and Y , such that X admits an Einstein metric of positive scalar curvature, and Y

Abstract The goal of this paper is to demonstrate that, at least for non- simply connected 4–manifolds, the Seiberg–Witten invariant alone does not determine diffeomorphism type

In this note we give examples in every dimension m ≥ 9 of piecewise linearly homeomorphic, closed, connected, smooth m-manifolds which admit two smoothness structures with