On the preservation of Baire category under preimages
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- by Dominikus Noll PDF
- Proc. Amer. Math. Soc. 107 (1989), 847-854 Request permission
Abstract:
We discuss the problem of preservation of Baire category under continuous and feebly open preimages. We obtain a solution by imposing a completeness condition on the fibres ${f^{ - 1}}(y)$ of the function $f$ under consideration. Based on a theorem on the invariance of residuality under continuous and nearly feebly open images, we also derive a result concerning the preservation of category under continuous and nearly feebly open preimages. We end up with an open mapping theorem for functions $f$ of this kind defined on a Čech complete space.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 847-854
- MSC: Primary 54C10; Secondary 46A30
- DOI: https://doi.org/10.1090/S0002-9939-1989-0982407-2
- MathSciNet review: 982407