Henderson County Clerk Office Information. Renesa Abner has been associated with the County Clerkâs Office for 20 years. The last eight as Supervisor of the Recording Department. She strives to provide informed, efficient, and friendly service to the citizens of Henderson County. Henderson County Clerk: Renesa Abner.
Projective Space. A projective space is a space that is invariant under the group of all general linear homogeneous transformation in the space concerned, but not under all the transformations of any group containing as a subgroup. A projective space is the space of one-dimensional vector subspaces of a given vector space.
A topological vector space is metrizable if and only if it is Hausdorff and has a countable base of neighbourhoods of zero. 6) Let be a topological vector space, let be a vector subspace of and let be the subspace topology on . The topology is compatible with the vector-space structure of . The topological vector space is called a topological vector subspace of the topological vector space . If is a base (respectively, subbase) of neighbourhoods of zero in , then the set forms a base (respectively, subbase) of neighbourhoods of zero in .