Indiana Jonas's Flamebate Posts

my parents abused me and as a result ive internalized a constant and permeating feeling of worthlessness

jiggaloon Posted:

Let G be a connected, simply connected compact Lie group, for example the special unitary group SU(n), and let Γ be a finite subgroup of G. Then the homogeneous space X = G/Γ has fundamental group Γ, which acts by right multiplication on the universal covering space G. Among the many variants of this construction, one of the most important is given by locally symmetric spaces X = Γ\G/K, where

G is a non-compact simply connected, connected Lie group (often semisimple),

K is a maximal compact subgroup of G

Γ is a discrete countable torsion-free subgroup of G.

In this case the fundamental group is Γ and the universal covering space G/K is actually contractible (by the Cartan decomposition for Lie groups).

As an example take G = SL(2, R), K = SO(2) and Γ any torsion-free congruence subgroup of the modular group SL(2, Z).

From the explicit realization, it also follows that the universal covering space of a path connected topological group H is again a path connected topological group G. Moreover, the covering map is a continuous open homomorphism of G onto H with kernel Γ, a closed discrete normal subgroup of G:

{\displaystyle 1\to \Gamma \to G\to H\to 1.} 1\to \Gamma \to G\to H\to 1.

Since G is a connected group with a continuous action by conjugation on a discrete group Γ, it must act trivially, so that Γ has to be a subgroup of the center of G. In particular π1Log in to see images! = Γ is an abelian group; this can also easily be seen directly without using covering spaces. The group G is called the universal covering group of H.

As the universal covering group suggests, there is an analogy between the fundamental group of a topological group and the center of a group; this is elaborated at Lattice of covering groups.

Just checked and yeah not sure my calculator has a bumon for all that.

my parents abused me and as a result ive internalized a constant and permeating feeling of worthlessness

But what kind of calculator did they give u and did it make correct math?

If you were feeling bad about your life come read this OP/First post combo it will make you feel so much better

Indiana Jonas Posted:

I’m like the calculator in this analogy in case anyone missed it

But not math it’s good posts I do hope that clears it up. I’m just ok at math and I don’t use the sun to do it I use a pencil and paper and sometimes a solar calculator which is ironic given the subject matter of the last 3 posts.

If you were feeling bad about your life come read this OP/First post combo it will make you feel so much better

Indiana Jonas Posted:

whoa whoa I already abdicated the best poster throne you don’t have to come at me with such fire anymore friend there’s nothing to gain I mean I guess I’m happy that my posts here made such an impression on you that you instantly remembered me and knew what my stick is (you misspelled stick up there btw but ima let it slide) all these years later but we can do without the hostility I think.

Let’s just have some ****in friendly good-time posts huh?

Also it’s not a stick I just am a good poster. pointing out my good posts is like watching someone use a 10 year old solar calculator and being like “imagine keeping up the “turn sun lasers into correct math” stick on an outdated technology 10 ****ing years later”. That’s just what it does man.

I totally forgot about Beiber

Indiana Jonas Posted:

i love reading things that i forgot i wrote and also cool guy has chill day

band or artist

Indiana Jonas Posted:

evenatit’sbestmomentsthiswbumtilla****ingterriblecontents

Btw dude who’s name I didn’t look at thanks for this clue it made me go back and listen to evenatit’sbestmomentsthiswbumtilla****ingterriblecontents early pre-major label releases and those dudes ****ing rocked. Cheers

If you were feeling bad about your life come read this OP/First post combo it will make you feel so much better

Indiana Jonas Posted:

Rocket spend a year of your life just moving my posts to FoW but just my posts so they’re out of context and don’t make sense and future internet archaeologists will be like “humph most of this forum is **** but this Full of Won section is quite interesting I wonder what it all means perhaps we’ve unlocked the key to what early humans called ‘humor’ we must take this back for further studies” and then they’ll be research papers and translations and **** and like artist interpretations of what I may have looked like and it’ll be like a fat man but with one arm and a vaguely dog-lookin head because there’s so many dogs doin people things pictures out there now that it’s gonna be really confusing to tell us apart in the future archaeologistly speaking. Tia

I see I spelled your name rocket above ricket but this is some steam of consciousness **** so **** no to going back and editing I think you got it I’ll report this post to make sure though have a chill day

Rickey did u start yet? Let me know thanks

I made 3 posts today

postan the day awayyyy Log in to see images! (view post)

If you were feeling bad about your life come read this OP/First post combo it will make you feel so much better

Rocket spend a year of your life just moving my posts to FoW but just my posts so they’re out of context and don’t make sense and future internet archaeologists will be like “humph most of this forum is **** but this Full of Won section is quite interesting I wonder what it all means perhaps we’ve unlocked the key to what early humans called ‘humor’ we must take this back for further studies” and then they’ll be research papers and translations and **** and like artist interpretations of what I may have looked like and it’ll be like a fat man but with one arm and a vaguely dog-lookin head because there’s so many dogs doin people things pictures out there now that it’s gonna be really confusing to tell us apart in the future archaeologistly speaking. Tia

I see I spelled your name rocket above ricket but this is some steam of consciousness **** so **** no to going back and editing I think you got it I’ll report this post to make sure though have a chill day

Be honest.

Chuck Diesel Posted:

3d modeled gay bread anal w/ sticky great times on bee big knees

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