See disjoint union topology on Wiktionary
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"ref": "2003, John M. Lee, Introduction to Smooth Manifolds, Springer, page 548:",
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"text": "And the set Gⁿ(#x5C;mathbb#x7B;F#x7D;) of all sub vector spaces of #x5C;mathbb#x7B;F#x7D;ⁿ, i.e. the disjoint union of the Gⁿ#x5F;k(#x5C;mathbb#x7B;F#x7D;), gets the disjoint union topology.",
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