Subspace of topological space has lower dimension
44431
The dimension of a subspace is less than dimension of the whole space.
111001
Does weak topology preserve topological vector space structure?
4717
The union of linear subspaces is not necessarily a subspace
131993
Prove that vector space and dual space have same dimension
102485
Showing that a topological space is ${\rm T}_1$
65494
Proper subspaces of $ R^n $
94165
Why is a map to a smaller dimensional space not injective?
53261
Show that Pn is an (n+1)-dimensional subspace
153747
Sub-dimensional linear subspaces of $\mathbb{R}^{n}$ have measure zero.
150796
Subspace topology and order topology (2)
144731
Disjoint closed sets in a second countable zero-dimensional space can be separated by a clopen set
64375
Non-Metrizable Topological Spaces
28819
A union of two subspaces not equal to the vector space.
63697
connected subspaces need to lie in one separated component
118323
What is the topological dual of a dual space with the weak* topology?
65381
Krull dimension on localization
154762
Dual space of a finite dimensional normed space