Displaying similar documents to “(LF)-Spaces, Quasi-Baire Spaces and the Strongest Locally Convex Topology.”

Baire-like spaces C(X,E)

Jerzy Kakol (2000)

Revista Matemática Complutense

Similarity:

We characterize Baire-like spaces C(X,E) of continuous functions defined on a locally compact and Hewitt space X into a locally convex space E endowed with the compact-open topology.

On the preservation of Baire and weakly Baire category

Alireza Kamel Mirmostafaee, Zbigniew Piotrowski (2016)

Mathematica Bohemica

Similarity:

We consider the question of preservation of Baire and weakly Baire category under images and preimages of certain kind of functions. It is known that Baire category is preserved under image of quasi-continuous feebly open surjections. In order to extend this result, we introduce a strictly larger class of quasi-continuous functions, i.e. the class of quasi-interior continuous functions. We show that Baire and weakly Baire categories are preserved under image of feebly open quasi-interior...

Regular inductive limits of K-spaces.

Thomas E. Gilsdorf (1991)

Collectanea Mathematica

Similarity:

A well-known result for bounded sets in inductive limits of locally convex spaces is the following: If each of the constituent spaces En are Fréchet spaces and E is the inductive limit of the spaces En, then each bounded subset of E is bounded in some En iff E is locally complete. Using DeWilde's localization theorem, we show here that the completeness of each En and the local completeness of E may be replaced with the conditions that the spaces En are all webbed K-spaces and E is locally...

Unordered Baire-like spaces without local convexity.

Jerzy Kakol, Walter Roelcke (1992)

Collectanea Mathematica

Similarity:

The aim of the present paper is to study the class of tvs which we define by ommiting the word increasing in the definition of *-suprabarrelled spaces. We prove that the product of Baire tvs is *-UBL and hence the class of *-UBL spaces is stricty larger than the class of Baire spaces.

Baire spaces

R. C. Haworth, R. A McCoy

Similarity:

CONTENTSIntroduction............................................................................................................ 5I. Basic properties of Baire spaces................................................................... 61. Nowhere dense sets............................................................................................... 62. First and second category sets............................................................................. 83. Baire spaces................................................................................................................