Somashekhar (Som) Naimpally, “Near and far. A centennial tribute to Frigyes Riesz”, Сиб. электрон. матем. изв., 2009, том 6,страницы А.1

Эта публикация цитируется в 7 статьях

Математическая жизнь

Near and far. A centennial tribute to Frigyes Riesz

Somashekhar (Som) Naimpally

96 Dewson street Toronto, ON M6H 1H3 CANADA

Аннотация: This article gives a short history of the concept of near and far during the last one hundred years. It was first formulated by Frederick Riesz at the International Mathematical Congress in Rome (1908). It has been extended and studied by several mathematicians in teaching and research. Applications to general relativity and digital images have been found. A comprehensive bibliography is given.

Ключевые слова: topology, proximity, nearness, calculus teaching, extension of continuous functions, Taimanov theorem, Wallman compactification, hyperspaces, Vietoris topology, proximal topology, Hausdorff metric, general relativity, digital images.

УДК: 515.122, 515.123.56, 515.126

Поступила 21 апреля 2009 г., опубликована 6 мая 2009 г.

Язык публикации: английский