topology

IPA(Pronunciation)

/təˈpɒləd͡ʒi/

Noun

uncountable countable dated

(mathematics, uncountable) The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).

Japanese Meaning

数学の一分野であり、対象の形状や空間について、連続変形（伸びたり曲がったりする操作）によって不変の性質を持つものを研究する。

What is this buttons?

Google Translation / DeepL Translation

大学院のゼミでは、一週間かけて位相幾何学と、連続変形によって保たれる性質が空間を区別する役割について探究しました。

Details

Sense（1）

Google Translation / DeepL Translation

Details

Sense（2）

(topology) Any collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.

A set X equipped with a topology 𝜏 is called a topological space and denoted (X,𝜏).

Google Translation / DeepL Translation

Details

Sense（3）

(medicine) The anatomical structure of part of the body.

Sense（4）

(computing) The arrangement of nodes in a communications network.

Sense（5）

Sense（6）

(topography) The topographical study of geographic locations or given places in relation to their history.

Sense（7）

topologies

（ plural ）

Details

topology

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