Completions of ranked spaces and their applications to the study of nonabsolute integrals

DOI10.1016/0166-8641(93)90053-GzbMath0837.54016OpenAlexW2065350076MaRDI QIDQ1314669

Shizu Nakanishi

Publication date: 21 May 1996

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(93)90053-g

zbMATH Keywords

Denjoy integralsranked spaces

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Denjoy and Perron integrals, other special integrals (26A39)

Cites Work

• On ranked linear spaces. II
• Application de la méthode des espaces rangés à la théorie de l'intégration, I
• On the completion of the ranked spaces
• The Baire category theorem in ranked spaces
• Sur la méthode des espaces rangés, I
• On generalized integrals, V
• Sur les espaces complets et régulièrement complets, I
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