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Matthias Kreck
Stratifolds
On this page, we collect papers concerning stratifolds, one of the many concepts of stratified spaces.
Matthias Kreck: Differential Algebraic TopologyAnna Grinberg: Resolution of Stratifolds and Connection to Mather’s Abstract Pre-Stratified Spaces
Augusto Minetta: Hirzebruch Homology
An example for a stratifold: The suspension of the torus. This is a 3-dimensional stratifold with two isolated singularities.
Sliced view. Every slice is diffeomorphic to the 2-dimensional torus, except for the north and south pole.
The suspension of the torus can be built from the solid octahedron by identifying opposite 2-faces (e.g. the two yellow ones) according to the coloured arrows.
Another example: This is a compact stratifold but cannot be parametrised.