- open-and-closed neighborhood
- мат. открыто-замкнутая окрестность
Большой англо-русский и русско-английский словарь. 2001.
Большой англо-русский и русско-английский словарь. 2001.
Open and closed maps — In topology, an open map is a function between two topological spaces which maps open sets to open sets.[1] That is, a function f : X → Y is open if for any open set U in X, the image f(U) is open in Y. Likewise, a closed map is a function… … Wikipedia
Open set — Example: The points (x, y) satisfying x2 + y2 = r2 are colored blue. The points (x, y) satisfying x2 + y2 < r2 are colored red. The red points form an open set. The blue points form a closed set. The union of the red and blue points is a… … Wikipedia
Open mapping theorem (functional analysis) — In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem (named after Stefan Banach and Juliusz Schauder), is a fundamental result which states that if a continuous linear operator between Banach spaces is… … Wikipedia
open — I. adjective (opener; openest) Etymology: Middle English, from Old English; akin to Old High German offan open, Old English ūp up Date: before 12th century 1. having no enclosing or confining barrier ; accessible on all or nearly all sides … New Collegiate Dictionary
Open Circle Theater — was a multi disciplinary performance company in Seattle, Washington. It was committed to the development of new works and adaptations that spoke to the human condition through fantasy and mythic storytelling. Founded in the early 90’s, the… … Wikipedia
Open book decomposition — In mathematics, an open book decomposition (or simply an open book) is a decomposition of a closed oriented 3 manifold M into a union of surfaces (necessarily with boundary) and solid tori. Open books have relevance to contact geometry, with a… … Wikipedia
RELIGIOUS LIFE AND COMMUNITIES — Jews UNDER OTTOMAN RULE The Jews of the pre Zionist old yishuv, both sephardim (from the Orient) and ashkenazim (of European origin), dedicated their lives to the fulfillment of religious precepts: the study of the torah and the meticulous… … Encyclopedia of Judaism
ALIYAH AND ABSORPTION — GENERAL SURVEY Introduction Aliyah, ascension or going up, is the coming of Jews as individuals or in groups, from exile or diaspora to live in the Land of Israel. Those who go up for this purpose are known as olim – a term used in the Bible for… … Encyclopedia of Judaism
Church of St. Luke and The Epiphany (Philadelphia) — Church of St. Luke and The Epiphany Church of St. Luke and The Epiphany … Wikipedia
2009 US Open (tennis) — 2009 US Open Date: August 31 – September 14 Edition: 129th Category: … Wikipedia
Limit superior and limit inferior — In mathematics, the limit inferior (also called infimum limit, liminf, inferior limit, lower limit, or inner limit) and limit superior (also called supremum limit, limsup, superior limit, upper limit, or outer limit) of a sequence can be thought… … Wikipedia