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Etymologie

identification topology - Übersetzung nach russisch

TOPOLOGICAL SPACE CONSISTING OF EQUIVALENCE CLASSES OF POINTS IN ANOTHER TOPOLOGICAL SPACE

Quotient topology; Quotient (topology); Quotient map; Identification space; Identification map; Quotient topological space; Gluing (topology); Identifiation map; Hereditarily quotient map

$For example, <math>[0,1]/\{0,1\}</math> is homeomorphic to the circle <math>S^1.</math>$

identification topology

математика

топология отождествления

indiscrete topology

TOPOLOGY WHERE THE ONLY OPEN SETS ARE THE EMPTY SET AND THE ENTIRE SPACE

Indiscrete topology; Indiscrete space; Codiscrete topology

математика

антидискретная топология

trivial topology

TOPOLOGY WHERE THE ONLY OPEN SETS ARE THE EMPTY SET AND THE ENTIRE SPACE

Indiscrete topology; Indiscrete space; Codiscrete topology

математика

тривиальная топология

Definition

topology

1. <mathematics> The branch of mathematics dealing with continuous transformations. 2. <networking> Which hosts are directly connected to which other hosts in a network. Network layer processes need to consider the current network topology to be able to route packets to their final destination reliably and efficiently. (2001-03-29)

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Wikipedia

Quotient space (topology)

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.

https://en.wikipedia.org/wiki/Quotient space (topology)

Übersetzung von &#39identification topology&#39 in Russisch