Translation guide
The mathematical study of shapes and spaces, focusing on properties preserved under continuous deformations like stretching or bending, but not tearing or gluing.
The branch of mathematics dealing with properties of space that are preserved under continuous deformations.
Standard term for topology as a field of mathematics. Literally 'phase geometry'.
位相幾何学は、図形の連続的な変形で変わらない性質を研究する。
Topology studies properties of shapes that do not change under continuous deformation.
Katakana loanword, common in academic and technical contexts.
トポロジーの概念は物理学にも応用されている。
Concepts from topology are also applied in physics.
The arrangement of nodes and connections in a network, such as computer networks or circuits.
Used in IT and engineering to describe network topology.
このネットワークのトポロジーはスター型です。
The topology of this network is a star type.
Literally 'connection form', used in technical documents for topology of connections.
システムの接続形態を図示してください。
Please illustrate the topology of the system.
The arrangement of physical features of an area, sometimes loosely used for 'topography'.
Means 'topography' or 'terrain'. Use when 'topology' is mistakenly used for physical landscape features.
In English, 'topology' is sometimes confused with 'topography'. In Japanese, use 地形 for physical land features.
この地域の地形は複雑だ。
The topology (topography) of this region is complex.
More formal or literary term for geographical features.
位相幾何学 is the traditional Japanese term for the mathematical field, while トポロジー is a loanword used in both mathematics and other technical fields like IT. In academic math contexts, both are used, but トポロジー is more common in interdisciplinary or applied settings.
English speakers sometimes misuse 'topology' when they mean 'topography' (physical features of land). In Japanese, use 地形 or 地勢 for topography. Using トポロジー for landscape would be incorrect.
More descriptive term meaning 'network configuration', often used in non-academic IT contexts.
ネットワーク構成を見直す必要がある。
We need to review the network topology.
Urban planning must consider the topology (topography).