Scientific publications

А.В. Иванов.

Почти вполне замкнутые отображения и квази-$F$-компакты

// Труды КарНЦ РАН. No 7. Сер. Математическое моделирование и информационные технологии. 2018. C. 25-33

A.V. Ivanov. Almost fully closed mappings and quasi-$F$-compacta // Transactions of Karelian Research Centre of Russian Academy of Science. No 7. Mathematical Modeling and Information Technologies. 2018. Pp. 25-33

Keywords: почти вполне замкнутое отображение; компакт Федорчука; квази-$F$-компакт; резольвента. almost fully closed mapping; Fedorchuk compactum; quasi-$F$-compactum; resolution.

The notion of an almost fully closed mapping, which generalizes the definition of a fully closed map, is introduced. It is shown that the composition of almost fully closed mappings of compacta with the first axiom of countability is also almost fully closed, and so is the limit of a countable inverse transfinite sequence of the same mappings. A class of quasi-$F$-compacta (which contains the class of Fedorchukcompacta) is defined. For this class, some statements are proved that generalize and strengthen the known theorems on $F$-compacta.

URL: http://journals.krc.karelia.ru/index.php/mathem/article/view/771

DOI: 10.17076/mat771

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Last modified: June 29, 2018