English Dictionary

topology

IPA（発音記号）

/təˈpɒləd͡ʒi/

名詞

不可算名詞 可算名詞 古風

(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).

日本語の意味

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。

In my graduate seminar, we spent the week exploring topology and its role in distinguishing spaces that can be continuously deformed into one another.

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。

意味（1）

(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).

This book is designed to develop the fundamental concepts of general topology which are the basic tools of working mathematicians in a variety of fields.

意味（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).

意味（3）

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

意味（4）

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

意味（5）

(technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.

意味（6）

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

意味（7）

(dated) The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.

topologies （ plural ）