disjoint union topology

Definitions

1. 1

   A topology which is applicable to the disjoint union of a given set of topological spaces…

   A topology which is applicable to the disjoint union of a given set of topological spaces and is the largest (most inclusive) topology that preserves the continuity of each contributing space as represented in the union.

   • The reader will recall that the morphism and object sets of A'#61;#92;coprod#95;#123;p,q#92;inP#125;A#95;c(q,p) were not necessarily given the disjoint union topologies.
   • And the set Gⁿ(#92;mathbb#123;F#125;) of all sub vector spaces of #92;mathbb#123;F#125;ⁿ, i.e. the disjoint union of the Gⁿ#95;k(#92;mathbb#123;F#125;), gets the disjoint union topology.

The neighborhood