Riv. Mat. Univ. Parma, Vol. 14, No. 1, 2023

Krzysztof Piszczek [a]

Contractibility and countable projective limits

Pages: 1-17
Received: 9 August 2021
Accepted: 3 January 2022
Mathematics Subject Classification: Primary: 46A13, 46H25, 47B47; Secondary: 46A04, 46J05.
Keywords: Projective/inductive limit, DF-space, topological algebra, contractible algebra.
Authors address:
[a]: Faculty of Mathematics and Computer Science, Mickiewicz University in Poznań, Uniwersytetu Poznańskiego 4, 61-614 Poznań, Poland.

The research of the author has been supported by the National Center of Science, Poland, grant no. UMO-2013/10/A/ST1/00091.

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Abstract: We discuss contractibility in the framework of topological algebras given by countable projective limits of DF-spaces. Full characterization of Köthe-type PLB-algebras is provided.

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