The problems of practical importance which are considered in school today
necessarily have to lead to a mathematical model that can be solved by
school mathematics knowledge. This includes systems of equations of
at most second degree, some simple trigonometry and/or some basic geometry.
This restricts severely the class of such problems and conveys the
impression that mathematics is not applicable enough. We provide examples of
problems related to practice which are difficult to solve by means...
∗ The first and third author were partially supported by National Fund for Scientific Research at the Bulgarian Ministry of Science and Education under grant MM-701/97.
A theorem proved by Fort in 1951 says that an upper or lower
semi-continuous set-valued mapping from a Baire space A into non-empty
compact subsets of a metric space is both lower and upper semi-continuous
at the points of a dense Gδ -subset of A.
In this paper we show that the conclusion of Fort’s theorem holds under
...
Митрофан М. Чобан, Петър Ст. Кендеров, Уорън Б. Муурс -
Полу-топологична група (съответно, топологична група) е група, снабдена с топология, относно която груповата оперция произведение е частично непрекъсната по всяка от променливите (съответно, непрекъсната по съвкупност от променливите и обратната операция е също непрекъсната). В настоящата работа
ние даваме условия, от топологичен характер, една полу-топологична група да
е всъщност топологична група. Например, ние показваме, че всяка сепарабелна
псевдокомпактна...
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