topologisen

Topologisen is the genitive singular form of the Finnish adjective topologinen, meaning “topological.” In Finnish, adjectives decline to agree with the noun they describe, so topologinen becomes topologisen when used with a noun in the genitive singular. A typical example is topologisen tilan ominaisuudet, which translates to “the properties of the topological space.” For contrast, the nominative singular is topologinen (e.g., topologinen tila, “a topological space”), and the genitive plural form is topologisten (as in topologisten tilojen ominaisuudet, “the properties of the topological spaces”). The partitive singular of the adjective is topologista (e.g., topologista tilaa).

Etymology and meaning: topologinen is derived from topology, a branch of mathematics dealing with qualitative properties of space preserved under continuous deformations. The word topologia itself comes from the Greek roots topo- “place” and -logia “study,” and Finnish borrowed the term through European scientific languages such as Swedish and English.

Usage: The form topologisen is common in mathematical, scientific, and technical Finnish when referring to a definite topological concept in a grammatical construction that requires the genitive singular noun. It signals a relationship to a specific topological entity, such as tilan (space), verkoston (network), or muuntuneiden tilojen (transformed spaces) in genitive contexts.

Notes: topologisen does not stand alone as a technical term; it is a grammatical inflection used within phrases describing topological concepts. The base adjective, topologinen, remains the core meaning “topological,” while inflection conveys grammatical relationships in Finnish sentences.