$L_2$ is of first category in $L_1$ (Rudin Excercise 2.4b)
113227
Measure spaces are proper subsets
94296
Classifying the factor group $(\mathbb{Z} \times \mathbb{Z})/\langle (2, 2) \rangle$
38378
$M= \{ A \in Mat_{2 \times 2}{\mathbb{R}}| \det(A)=1 \}$ is homeomorphic to $S^{1} \times \mathbb{R}^{2}$
112577
$\hom (M, \coprod_i N_i) \cong \bigoplus_i \hom (M, N_i)$ in abelian categories when $M$ is simple?
89659
$H_1 ,H_2 \unlhd \, G$ with $H_1 \cap H_2 = \{1_G\} $. Prove every two elements in $H_1, H_2$ commute
73869
$\mathcal{C}_1 \subseteq \mathcal{C}_2 \implies \sigma( \mathcal{C}_1) \subseteq \sigma( \mathcal{C}_2) $
94378
Is Linear transformations $T_1,T_2 : \mathbb{R}^n\rightarrow \mathbb{R}^n$ Invertible?
57753
Exercise 2.13 in Atiyah-Macdonald
106370
How do we construct the coslice category $C / \bf{C}$ given $\textbf{C}/C$ and prove that the two are equal?
146690
Basis for adjoint representation of $sl(2,F)$
77757
Infer the second isomorphism theorem from the first one
53331
$\mathbb{Q}(\sqrt2, \sqrt3)$ is not isomorphic to $\mathbb{Q}(\sqrt[4]2)$
32765
$\mathbb{C}\mathbb{P}^1$ is homeomorphic to $S^2$
42579
Composition of 2 involutions
113411
If $E$ is generated by $E_1$ and $E_2$, then $[E:F]\leq [E_1:F][E_2:F]$?
96380
Representation of $\text{sl}(2,\mathbb{C})$
62077
Prove that if $W_1\subseteq V$ finite-dimensional, then there is $W_2\subseteq V$ such that $V=W_1\oplus W_2$