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位相幾何学 (isoukikagaku) Japanese meaning: topology | Kotomora

位い相そう幾き何か学がく

い

そ

う

き

か

が

く

Meanings

1

The mathematical study of properties preserved under continuous deformations, such as stretching and bending, but not tearing or gluing.

位い相そう幾き何か学がくでは、

コーヒーカップ

と

ドーナツ

は

同おな

じ

形かたち

と

みなさ

れる

。

In topology, a coffee cup and a doughnut are considered the same shape.

Kanji

位rank, grade, throne
相inter-, mutual, together
幾how many, how much, how far
何what
学study, learning, science

Related words

トポロジー
A loanword from English, often used in the same mathematical sense but may also refer to network topology in computing. 位相幾何学 is the native Japanese term and is more formal.

Built from

位い相そう+幾き何か学がく

Etymology

Compound of 位相 (isō, 'phase' or 'topological phase') and 幾何学 (kikagaku, 'geometry'). The term was coined to describe the study of geometric properties invariant under continuous transformations.