order topology and subspace topology for a convex subspace
125761
Is this proof for Theorem 16.4 Munkres Topology correct?
155621
Finiteness of the dimension of a normed space and compactness
95887
How to show that quotient space $X/Y$ is complete when $X$ is Banach space, and $Y$ is a closed subspace of $X$?
147420
Equivalent definitions of convexity for $f\in\mathcal C^1(\mathbb R^n)$
53850
Proof that every normed vector space is a topological vector space
107000
Dimension of intersection of distinct subspaces
124458
Quotient of a Banach space $X$ gets quotient topology under standard norm induced from $X$.
18039
Let $A$ be a dense subset of $X$ and suppose $A$ is connected in the induced subspace topology, then $X$ is also connected
122352
Topologies in a Riemannian Manifold
151161
norms on vector space are equivalent iff they have same topology
90525
The subspace of $\ell_2$
120345
Topology induced by seminorms and initial topology
28731
Banach space in functional analysis
125073
Finite-dimensional subspaces of normed vector spaces are direct summands
140168
What are the basis for co-countable and co-finite topologies
113594
Convex combination of quasiconvex functions.
134065
A question about an $n$-dimensional subspace of $\mathbb{F}^{S}$.