Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
- how the word is used
- frequency of use
- it is used more often in oral or written speech
- word translation options
- usage examples (several phrases with translation)
- etymology
identification map - translation to russian
![For example, <math>[0,1]/\{0,1\}</math> is homeomorphic to the circle <math>S^1.</math>](https://commons.wikimedia.org/wiki/Special:FilePath/Collapsing a subspace.svg?width=200 "For example, <math>[0,1]/\{0,1\}</math> is homeomorphic to the circle <math>S^1.</math>")
общая лексика
отображение отождествления или идентифицирующее отображение
математика
фактор-топология
общая лексика
Linker Map
файл карты памяти
распределение памяти после компоновки
Map
ASCII-файл, используемый для онлайновых изображений карт в Web
Definition
Wikipedia
In topology and related areas of mathematics, the quotient space of a topological space under a given equivalence relation is a new topological space constructed by endowing the quotient set of the original topological space with the quotient topology, that is, with the finest topology that makes continuous the canonical projection map (the function that maps points to their equivalence classes). In other words, a subset of a quotient space is open if and only if its preimage under the canonical projection map is open in the original topological space.
Intuitively speaking, the points of each equivalence class are identified or "glued together" for forming a new topological space. For example, identifying the points of a sphere that belong to the same diameter produces the projective plane as a quotient space.
