ε-retracts, Q-manifolds, and fixed points

Pavel V. Chernikov

doi:10.25587/SVFU.2019.89.45.007

ε-retracts, Q-manifolds, and fixed points

Pavel V. Chernikov

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

A generalization of one of the Noguchi fixed point theorems is presented. We prove that there exists a compact noncollapsible acyclic Q-manifold with the fixed point property. A topological space with the fixed point σ-property is introduced and studied and an example of a noncompact set in R² with the fixed point property is given.

Язык оригинала	английский
Страницы (с-по)	90-97
Число страниц	8
Журнал	Mathematical Notes of NEFU
Том	26
Номер выпуска	3
DOI	https://doi.org/10.25587/SVFU.2019.89.45.007
Состояние	Опубликовано - 1 янв 2019
Опубликовано для внешнего пользования	Да

Предметные области OECD FOS+WOS

1.02 КОМПЬЮТЕРНЫЕ И ИНФОРМАЦИОННЫЕ НАУКИ
1.01 МАТЕМАТИКА

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10.25587/SVFU.2019.89.45.007

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AB - A generalization of one of the Noguchi fixed point theorems is presented. We prove that there exists a compact noncollapsible acyclic Q-manifold with the fixed point property. A topological space with the fixed point σ-property is introduced and studied and an example of a noncompact set in R2 with the fixed point property is given.

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KW - ε-retract

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ε-retracts, Q-manifolds, and fixed points

Аннотация

Предметные области OECD FOS+WOS

Доступ к документу

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