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数学の一分野、圏論における位相線型空間の圏（いそうせんけいくうかんのけん、英: category of topological vector spaces）TVect（あるいは TVS などとも書く）は、すべての位相線型空間を対象とし、すべての連続線型写像を射とする圏である。これが圏を成すのは、二つの連続線型写像の合成がふたたび連続線型となることによる。 位相体 K を一つ固定して、K 上の位相線型空間が連続 K-線型写像を射としてなす（部分）圏 TVectK を考えることもできる。
, In mathematics, the category of topologica … In mathematics, the category of topological vector spaces is the category whose objects are topological vector spaces and whose morphisms are continuous linear maps between them. This is a category because the composition of two continuous linear maps is again a continuous linear map. The category is often denoted TVect or TVS. Fixing a topological field K, one can also consider the subcategory TVectK of topological vector spaces over K with continuous K-linear maps as the morphisms.continuous K-linear maps as the morphisms.
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In mathematics, the category of topologica … In mathematics, the category of topological vector spaces is the category whose objects are topological vector spaces and whose morphisms are continuous linear maps between them. This is a category because the composition of two continuous linear maps is again a continuous linear map. The category is often denoted TVect or TVS. Fixing a topological field K, one can also consider the subcategory TVectK of topological vector spaces over K with continuous K-linear maps as the morphisms.continuous K-linear maps as the morphisms.
, 数学の一分野、圏論における位相線型空間の圏（いそうせんけいくうかんのけん、英: category of topological vector spaces）TVect（あるいは TVS などとも書く）は、すべての位相線型空間を対象とし、すべての連続線型写像を射とする圏である。これが圏を成すのは、二つの連続線型写像の合成がふたたび連続線型となることによる。 位相体 K を一つ固定して、K 上の位相線型空間が連続 K-線型写像を射としてなす（部分）圏 TVectK を考えることもできる。
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位相線型空間の圏
, Category of topological vector spaces
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