Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results for homeomorphism
Search options not deleted
3
votes
0
answers
142
views
Homeomorphism between the space of all Ashtekar connections and spacetime?
My question thus is: Is it possible to somehow find a homeomorphism between the space of all Ashtekar connections and spacetime (so that the interactions of LQG can be formulated on spacetime itself)? …
user28355
0
votes
1
answer
101
views
Does faster than light lead to closed timelike curves?
The former is homeomorphism to a straight line ($R^1$) while the latter is homeomorphic to a circle ($S^1$). …
- 2,973
1
vote
0
answers
102
views
Is it obvious, if an excision from Minkowski spacetime breaks isometry...?
, @Mariano-Suárez-Álvarez said,
Now, if f:M→N is a homeomorphism of smooth manifolds, you can always «adjust» the smooth structures so that f becomes a diffeo: indeed,
and offered the OP there … the suggestion
you should be able to prove the following: if M is a smooth manifold, N a topological space and f:M→N a homeomorphism, then there is a structure of smooth manifold on N such that f becomes …
- 772
1
vote
1
answer
208
views
Smooth trajectory on a smooth manifold
Physicists talk about a smooth trajectory of a particle on a smooth manifold and they label it as $q(t)$ where $q_1(t)....q_n(t)$ are component functions coming from the homeomorphism. …
user4235
3
votes
4
answers
406
views
Polarity in a magnetized Möbius strip [closed]
Is magnetic polarity and strength distribution after magnetization influenced by changed geometry ( by homeomorphism ) ? …
- 977
1
vote
1
answer
356
views
Rigorous definition of generalized coordinates
Does this transformation need to be a diffeomorphism, just a differentiable homeomorphism or what do we need to ask for? …
- 95
2
votes
3
answers
355
views
Please explain this statement about Lorentz transformations
on the vector ${\bf x}$ as $\phi(A){\bf x}$
$AxA^*$ is also self-adjoint and $\det AxA^*=(\det A)^2\det x$
Therefore if $A \in SL(2,\mathbb{C})$ then $\phi(A)$ is a Lorentz transformation and also a homeomorphism …
- 5,024
0
votes
0
answers
202
views
Regarding Ampere's Circuital Law
Assume that a homeomorphism $f:X\longrightarrow Y$, where $X=(x_1,x_2)$ and $Y=(x'_1,x'_2)$, exists such that the closed curve taken is mapped onto a circle of radius $r$ and the magnetic (vector) field …
3
votes
0
answers
190
views
Is a solution to the Klein-Gordon equation homeomorphic (or even diffeomorphic) to a solutio...
Up to homeomorphism, can $\psi$ serve as a solution to some other equation that has a different covariance group? …
- 71
4
votes
1
answer
243
views
Coordinates vs. parametrization of a worldsheet
notation, where we're taking $X^\mu(\tau,\sigma)$ to be shorthand for $X^\mu(S(\tau,\sigma))$ where $S:\mathbb{R}^2\to M$ is the map to the "abstract" worldsheet and $X^\mu :M\to\mathbb{R}^4$ is the (homeomorphism …
- 1,062
30
votes
Accepted
Proof that Our Planet is 1D
I am afraid while a continuous bijection is possible one-way, it is not possible to have a homeomorphism between two different Euclidean spaces of different dimensions. … A homeomorphism is a mapping that is continuous, bijective and has its inverse continuous. You cannot construct a homeomorphism. Thus the Earth cannot be 1D! …
- 611
12
votes
1
answer
3k
views
Coordinate systems in General Relativity
A coordinate system is a chart $(U,x)$ on the open set $U\subset M$, being $x : U\to \mathbb{R}^4$ a homeomorphism. …
- 35.8k
4
votes
3
answers
120
views
When we apply these concepts to physics, where do we put the UNITS in vector spaces and mani...
Also, the definition of manifold might ban units in the coordinates as well, since the definition requires a "homeomorphism to open subset of $\mathbb{R}^n$". …
- 41
0
votes
Comparing two spacetimes
ultimately is a topological space with extra structure that is defined in terms of homeomorphisms between open subsets and open subsets of some $\mathbb R^n$ (the open subsets of the manifold are charts, the homeomorphism …
- 9,224
2
votes
Does the general topology of Minkowski space-time change under a Lorentz transformation?
Homeomorphism is indeed the key concept here, and I wish to add a very slight nitpick with Robin's answer so that there is no risk of your being confused in contexts other than SR/GR (for example, in quantum … mechanics): you also need the information that Minkowski spacetime is finite dimensional to infer continuity from linearity and homeomorphism from linear and invertible (which of course is a given in …
- 88k