An F & sigma;-set in a collectionwise normal space is also collectionwise normal in the subspace topology.
12.
In general, it will be finer than the subspace topology ( i . e . have more open sets ).
13.
More specifically, in these cases, the Weil group does not have the subspace topology, but rather a finer topology.
14.
An "'irreducible set "'is a subset of a topological space for which the subspace topology is irreducible.
15.
S is then homeomorphic to its image in X ( also with the subspace topology ) and \ iota is called a topological embedding.
16.
And equip it with the subspace topology and the projection map given by the projection onto the first factor, i . e .,
17.
The group of units R ^ { \ times }, together with the subspace topology, aren't a topological group in general.
18.
Suppose that " F " is a vector subspace Y ^ T so that it inherits the subspace topology from Y ^ T.
19.
By " interior " points I mean points of the topological interior by the subspace topology induced via the plane of the respective triangles.
20.
The projective Zariski topology is defined for projective algebraic sets just as the affine one is defined for affine algebraic sets, by taking the subspace topology.
