What is it about?
We investigate possible images of Bernstein subsets of polish spaces. For example, a whole real line can be such an image but no proper co-analytic set can be a continuous image of a Bernstein set.
Featured Image
Photo by James Day on Unsplash
Why is it important?
In our research, a new class of topological spaces plays an important role: these are X spaces for which there there exists a continuous mapping from X onto X such that the inverse image of every point in X has size continuum (we call this spaces fiberable).
Perspectives
Read the Original
This page is a summary of: Images of Bernstein sets via continuous functions, Georgian Mathematical Journal, December 2019, De Gruyter,
DOI: 10.1515/gmj-2019-2041.
You can read the full text:
Contributors
The following have contributed to this page