Inductive limits of quasi-locally Baire spaces.
| Autor: | Gilsdorf, Thomas E. |
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| Zdroj: | Asian-European Journal of Mathematics; Apr2022, Vol. 15 Issue 4, p1-5, 5p |
| Abstrakt: | Quasi-locally complete locally convex spaces are generalized to quasi-locally Baire locally convex spaces. It is shown that an inductive limit of strictly webbed spaces is regular if it is quasi-locally Baire. This extends Qiu's theorem on regularity. Additionally, if each step is strictly webbed and quasi-locally Baire, then the inductive limit is quasi-locally Baire if it is regular. Distinguishing examples are provided. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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