# Example of an Highly Branching CD Space

@inproceedings{Magnabosco2021ExampleOA, title={Example of an Highly Branching CD Space}, author={Mattia Magnabosco}, year={2021} }

In [3] Ketterer and Rajala showed an example of metric measure space, satisfying the measure contraction property MCP(0, 3), that has different topological dimensions at different regions of the space. In this article I propose a refinement of that example, which satisfies the CD(0,∞) condition, proving the non-constancy of topological dimension for CD spaces. This example also shows that the weak curvature dimension bound, in the sense of Lott-SturmVillani, is not sufficient to deduce any… Expand

#### One Citation

A Metric Stability Result for the Very Strict CD Condition

- Mathematics
- 2021

In [15] Schultz generalized the work of Rajala and Sturm [13], proving that a weak nonbranching condition holds in the more general setting of very strict CD spaces. Anyway, similar to what happens… Expand

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