A subset that forms a basis
120610
Find a subset of $S = \{(1, 0, i), (i, 2, -3), (2-i, 1+i, i)\}$ that forms a basis for $\textsf V = \operatorname{span}(S)$
139078
Infinite partition of $\mathbb N$ by infinite subsets
154724
Every vector space has a basis
110832
$F_\sigma$-subsets in a normal space can be separated
119649
Every metrizable space with a countable dense subset has a countable basis
3543
Prove set is basis for $R^3$
60309
Let X be a subset of {1,2,...,2014}...
80180
Discrete and compact subset must be finite
39746
How to prove that given set is a connected subset of the space of matrices?
723
Is there a constructive way to exhibit a basis for $\mathbb{R}^\mathbb{N}$?
19856
Prove that a subset of a separable set is itself separable
28391
Prove the compactness of a set B
33207
Bases having countable subfamilies which are bases in second countable space
77791
Proving an inclusion related to algebraic sets and interpreting it
87830
Relating the union of the power set of a set to the set itself
21366
Help on the relationship of a basis and a dual basis
140212
Prove that there exists a unique linear map that extends the map from a basis