Unordered Baire-like spaces without local convexity

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J., 1952- Kakol
W. Roelcke
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 $\ast$-suprabarrelled spaces. We prove that the product of Baire tvs is $\ast$-UBL ant hence the class of $\ast$-UBL spaces is strictly larger than the class of Baire spaces.

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Kakol, J., 1952-; and Roelcke, W. “Unordered Baire-like spaces without local convexity”. Collectanea Mathematica, vol.VOL 43, no. 1, pp. 43-54, https://raco.cat/index.php/CollectaneaMathematica/article/view/56695.