Question

confused about quotienting $\Bbb R^2$ by $\Bbb Z^2$ vs. compactifying $ \Bbb R^2$ first and then gluing sides

score 76 · Answer 1 · 2026-03-26 13:01:00

76

Views

confused about quotienting $\Bbb R^2$ by $\Bbb Z^2$ vs. compactifying $ \Bbb R^2$ first and then gluing sides

Published on 26 Mar 2026 - 13:01

score 34 · Answer 2 · 2026-02-23 06:39:28

34

Views

Variant of Quotient Metric is an Ultrametric

Published on 23 Feb 2026 - 6:39

score 68 · Answer 3 · 2020-07-16 12:15:44

68

Views

How many 2-adic integers $x$ satisfy $\lim_{n\to\infty} \sum_{k=0}^n \frac {a_i}n=\log_2(3)$ (modulo addition with eventually zero sequences)?

Published on 16 Jul 2020 - 12:15

score 64 · Answer 4 · 2020-07-18 07:08:01

64

Views

Prove that if ${(v_1- v_2) } \in U$ where $U$ is a subspace of $V$ then $v_1 + U$ = $v_2 + U$ where $v_1 , v_2$ belong in $V$

Published on 18 Jul 2020 - 7:08

score 137 · Answer 5 · 2020-07-18 08:29:53

137

Views

How to define a given quotient space $\Bbb{R} ^2$/{$0$}?

Published on 18 Jul 2020 - 8:29

score 249 · Answer 6 · 2020-07-19 01:32:15

249

Views

Geometry of Riemannian quotient manifold $St(\mathbb{C}^{n \times p},B)/U(1)^{\times p}$

Published on 19 Jul 2020 - 1:32

score 35 · Answer 7 · 2020-07-19 15:41:08

35

Views

$\pi(v)=x+y$ implies $v=v_1+v_2,\; \pi(v_1)=x,\pi(v_2)=y$

Published on 19 Jul 2020 - 15:41

score 51 · Answer 8 · 2020-07-21 19:22:15

51

Views

Show that the induced mapping $\hat{\phi}: X/\sim \to Y/\approx$ is continuous (Marsden, Ratiu, Abraham)

Published on 21 Jul 2020 - 19:22

score 84 · Answer 9 · 2020-07-22 20:18:20

Prove/disprove that $ \mathbb{R}^2 / $~ is hausdorff, when: $(x_1,x_2) $~$(y_1,y_2)$ if there is $t>0$ such that $x_2 = tx_1 $ and $ty_2 = y_1$

score 136 · Answer 10 · 2026-03-25 14:23:53

136

Views

Grassmannian $Gr_{\mathbb{R}}(r, n)$ and $Gr_{\mathbb{C}}(r, n)$ as homogeneous space?

Published on 25 Mar 2026 - 14:23

score 93 · Answer 11 · 2020-07-25 13:52:56

93

Views

Is there a way to make Zorn's lemma applicable when the upper bound property just fails, due to a "constant" chain?

Published on 25 Jul 2020 - 13:52

score 510 · Answer 12 · 2020-07-27 03:24:24

510

Views

$K$-topology of the real line and quotient topology.

Published on 27 Jul 2020 - 3:24

score 100 · Answer 13 · 2026-03-25 14:33:39

100

Views

Well-defined way to quotient by a relation involving an infinite sum

Published on 25 Mar 2026 - 14:33

score 310 · Answer 14 · 2026-03-26 12:33:55

310

Views

Bilinear form and quotient space

Published on 26 Mar 2026 - 12:33

score 64 · Answer 15 · 2026-03-27 12:20:03

64

Views

Does the Plücker embedding topology agree with the quotient topology?

Published on 27 Mar 2026 - 12:20

List Question

confused about quotienting $\Bbb R^2$ by $\Bbb Z^2$ vs. compactifying $ \Bbb R^2$ first and then gluing sides

Variant of Quotient Metric is an Ultrametric

How many 2-adic integers $x$ satisfy $\lim_{n\to\infty} \sum_{k=0}^n \frac {a_i}n=\log_2(3)$ (modulo addition with eventually zero sequences)?

Prove that if ${(v_1- v_2) } \in U$ where $U$ is a subspace of $V$ then $v_1 + U$ = $v_2 + U$ where $v_1 , v_2$ belong in $V$

How to define a given quotient space $\Bbb{R} ^2$/{$0$}?

Geometry of Riemannian quotient manifold $St(\mathbb{C}^{n \times p},B)/U(1)^{\times p}$

$\pi(v)=x+y$ implies $v=v_1+v_2,\; \pi(v_1)=x,\pi(v_2)=y$

Show that the induced mapping $\hat{\phi}: X/\sim \to Y/\approx$ is continuous (Marsden, Ratiu, Abraham)

Prove/disprove that $ \mathbb{R}^2 / $~ is hausdorff, when: $(x_1,x_2) $~$(y_1,y_2)$ if there is $t>0$ such that $x_2 = tx_1 $ and $ty_2 = y_1$

Grassmannian $Gr_{\mathbb{R}}(r, n)$ and $Gr_{\mathbb{C}}(r, n)$ as homogeneous space?

Is there a way to make Zorn's lemma applicable when the upper bound property just fails, due to a "constant" chain?

$K$-topology of the real line and quotient topology.

Well-defined way to quotient by a relation involving an infinite sum

Bilinear form and quotient space

Does the Plücker embedding topology agree with the quotient topology?

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