Question

what is the Cayley complex of dihedral group $D_{4}$?

score 379 · Answer 1 · 2014-03-14 17:26:28

379

Views

what is the Cayley complex of dihedral group $D_{4}$?

Published on 14 Mar 2014 - 17:26

score 885 · Answer 2 · 2014-03-14 22:19:38

885

Views

Covering of a Topological Group(Use of fundamental theorem of covering spaces)

Published on 14 Mar 2014 - 22:19

score 66 · Answer 3 · 2014-03-15 17:56:09

66

Views

using covering space technique,prove that $[G:H \cap K] \leq [G:H][G:K]$.

Published on 15 Mar 2014 - 17:56

score 66 · Answer 4 · 2014-03-22 21:09:35

66

Views

Are two equivalent coverings of a Riemann surface also biholomorphic?

Published on 22 Mar 2014 - 21:09

score 27 · Answer 5 · 2014-03-23 16:05:14

27

Views

Square of normal covering splits

Published on 23 Mar 2014 - 16:05

score 95 · Answer 6 · 2014-03-29 19:51:53

95

Views

Endowing a metric on the torus from the euclidian metric of its covering space, the plane

Published on 29 Mar 2014 - 19:51

score 185 · Answer 7 · 2014-03-30 03:08:46

185

Views

Why does the intersection change to a union in $r^{-1}(\bigcap r(V_i\cap W_i))=\bigcup V_i\cap W_i$?

Published on 30 Mar 2014 - 3:08

score 1.6k · Answer 8 · 2014-04-01 14:37:07

1.6k

Views

what is the covering space of figure eight which is corresponding to commutator subgroup.

Published on 01 Apr 2014 - 14:37

score 98 · Answer 9 · 2014-04-05 09:37:04

98

Views

Is Orbit Criterion an abstract nonsense? Different induced fundamental groups.

Published on 05 Apr 2014 - 9:37

score 276 · Answer 10 · 2014-04-05 13:59:21

276

Views

Verify $p _0 : [0,1] \mapsto S^1 , p_0(s)=(\cos(2 \pi s),\sin(2\pi s))$ is a covering map.

Published on 05 Apr 2014 - 13:59

score 4.2k · Answer 11 · 2014-04-12 18:37:08

4.2k

Views

Homology Whitehead theorem for non simply connected spaces

Published on 12 Apr 2014 - 18:37

score 3.6k · Answer 12 · 2014-04-15 18:04:51

3.6k

Views

Let $p: E\to B$ be a covering map. If $B$ is compact and $p^{-1}(b)$ is finite, then $E$ is compact.

Published on 15 Apr 2014 - 18:04

score 5.3k · Answer 13 · 2014-04-15 20:45:42

5.3k

Views

Show that if B is simply-connected, then p is a homeomorphism.

Published on 15 Apr 2014 - 20:45

score 128 · Answer 14 · 2014-04-17 16:36:25

128

Views

does the pullback of a covering space correspond to the pullback of the corresponding representations of $\pi_1$?

Published on 17 Apr 2014 - 16:36

score 318 · Answer 15 · 2014-04-17 20:36:27

Let $p$ be a covering space and $X, Y$ be path connected. Show there exists a map $q$ such that $q\circ p=1_{X}$ iff $p$ is a homeomorphism.

List Question

what is the Cayley complex of dihedral group $D_{4}$?

Covering of a Topological Group(Use of fundamental theorem of covering spaces)

using covering space technique,prove that $[G:H \cap K] \leq [G:H][G:K]$.

Are two equivalent coverings of a Riemann surface also biholomorphic?

Square of normal covering splits

Endowing a metric on the torus from the euclidian metric of its covering space, the plane

Why does the intersection change to a union in $r^{-1}(\bigcap r(V_i\cap W_i))=\bigcup V_i\cap W_i$?

what is the covering space of figure eight which is corresponding to commutator subgroup.

Is Orbit Criterion an abstract nonsense? Different induced fundamental groups.

Verify $p _0 : [0,1] \mapsto S^1 , p_0(s)=(\cos(2 \pi s),\sin(2\pi s))$ is a covering map.

Homology Whitehead theorem for non simply connected spaces

Let $p: E\to B$ be a covering map. If $B$ is compact and $p^{-1}(b)$ is finite, then $E$ is compact.

Show that if B is simply-connected, then p is a homeomorphism.

does the pullback of a covering space correspond to the pullback of the corresponding representations of $\pi_1$?

Let $p$ be a covering space and $X, Y$ be path connected. Show there exists a map $q$ such that $q\circ p=1_{X}$ iff $p$ is a homeomorphism.

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