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jiggaloon's Flamebate Posts
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my parents abused me and as a result ive internalized a constant and permeating feeling of worthlessnessuniversity math is basically just a really rigorous subfield of philosophy sry guys (view post) |
07/09/2019 | |
what the ****CrinkzPipe Posted:
im using it as a place to write stream-of-thought style about the things wrong in my life rn
im irawr btw hi crinkz missed u (view post) |
07/09/2019 | |
my parents abused me and as a result ive internalized a constant and permeating feeling of worthlessnessIndiana Jonas 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. (view post) |
07/08/2019 | |
my parents abused me and as a result ive internalized a constant and permeating feeling of worthlessnessand now im incapable of handling romantic interpersonal connections (view post) |
07/07/2019 | |
If you were feeling bad about your life come read this OP/First post combo it will make you feel so much betteroh and im 30k in student loan debt. id have to take on more to get further. im never gonna pay that **** back. **** the feds.
i miss joey (view post) |
07/07/2019 | |
If you were feeling bad about your life come read this OP/First post combo it will make you feel so much betterIndiana Jonas Posted:
its hard to feel like any of it is worth it when people with far more privilege have to work half as hard to get twice as far. ive spent the past three years of my life studying mathematics because i want(ed) to be a professor but that dream feels further and further out of reach as i realize more and more how few professors there are that come from the background i come from. i can talk to you for hours about abstract algebra and topology and algebraic topology and all this **** and for what? i had a promising career as a writer, i was getting publications like nobody’s business, but then i focused on math and that ended up taking all of my creative energy — people don’t realize that math is a very creative field. it’s essentially just poetics with rigor — and it feels pointless. it all feels ****ign pointless. im poor and sad and i cant afford the therapy i desperately need. (view post) |
07/07/2019 | |
If you were feeling bad about your life come read this OP/First post combo it will make you feel so much bettersdgrbbum09 Posted:
Log in to see images! (view post) |
07/07/2019 | |
If you were feeling bad about your life come read this OP/First post combo it will make you feel so much betterim about to be 24 and i feel like such a loser. nothing has worked out how i wanted it to and i dont know whats going to happen. i feel like im not even a real person, like theres no such thing as me, and im in a permanent state of subduction, everything on the surface being pulled down and down and down and heated and folded and compressed into a slurry only to be pushed back up to the surface to briefly harden and then subduct again (view post) |
07/06/2019 | |
If you were feeling bad about your life come read this OP/First post combo it will make you feel so much betterits weird because im at this age now where i actually have some time to look back on and im picking up the pieces from all this trauma i went through as a kid and i think that trauma is what attracted me to these kinds of places you know? the conflict and toxicity was so normal to me because of my family that i actually sought it out in my social interactions w ppl and its been a process of removing that from my personality. its hard, man. i just went through a difficult breakup and my fear of being inadequate is what did it, and i just wish i could have not had that fear because i liked the guy and i liked spending time with him. it doesnt matter now though which makes it hard to care about continuing the work ive been doing on myself but i know ill be better off regardless (view post) |
07/06/2019 | |
If you were feeling bad about your life come read this OP/First post combo it will make you feel so much betteryou know its funny when im being ironic but like casually i adopt a cadence and diction thats similar to yours, i guess there was kind of a zeitgeist to the posting here and i was an impressionable young lad and picked it up, thats pretty cool, its weird being back here because back when it was active i was like 12 years old literally a child and now im a man thats kinda ****ed
ive wasted so much of my life but i started out pretty disadvantaged. and yet here i am. im not even being ironic rn this isnt a bit this is me good lord (view post) |
07/06/2019 | |
If you were feeling bad about your life come read this OP/First post combo it will make you feel so much betterIndiana Jonas Posted:
imagine still maintaining the “im a good poster” schtick ten ****ing years later on a dead forum (view post) |
07/04/2019 | |
does anyone remember patchthedarknut he was gay and tried to kill himselfanyway one time he jacked off on camera for me and then ate his own nut and said it tasted like scrambled eggs
Log in to see images! (view post) |
07/04/2019 | |
I totally forgot about BeiberIndiana Jonas Posted:
funnycraigslistads.com (view post) |
07/04/2019 | |
CONTENTS FOR 1000000000000 BP - Get Forumwarz shut down permanentlyLog in to see images! (view post) |
07/04/2019 | |
Is there a way to see an old account's email?im irawr Log in to see images! (view post) |
06/23/2019 | |
The DarkNetLog in to see images! (view post) |
06/08/2019 | |
the most active part of this community is the wikiin which i am engaged in an edit war with three other users
they can try and remove my bumhole from the front page of the wiki but
i will always be there to put it back
also lmao bbcode (view post) |
03/19/2019 | |
BBBBBBBBBRRRRRRRRRRRAAAAAAAAAAAPPPPPPPPPPPPPPPPPDef: Let p : E → B be a map. If f : X → B is a map, a lifting of f is a map
f : X → E such that p ◦
f = f Diagrams: E p
X f
f B (E,e0) p
(I,0) f
f
(B,b0) Lemma: (Path Lifting) Let p : E → B be a covering map. Let p(e0) = b0. Any path f : [0,1] → B beginning at b0 has a unique lifting to a path
f in E beginning at e0. Mth 632 – Winter 2009 Path and Homotopy Lifting 1/5 Homotopy Lifting Lemma: (Homotopy Lifting) Let p : E → B be a covering map. Let p(e0) = b0. Any homotopy H : [0,1]×[0,1] → B with H(0) = b0 has a unique lifting to a homotopy H
in E with H(0) = e0. If H is a path homotopy, so is H
. (E,e0) p
(I ×I,0) H H
(B,b0) Mth 632 – Winter 2009 Path and Homotopy Lifting 2/5 Lifting Correspondence Thm: Let p : E → B be a covering map. Let p(e0) = b0. paths f and g from b0 to b1 are path homotopic iff
f and
g, the lifts of f and g beginning at e0, end at the same point and are path homotopic. Def: Let p : E → B be a covering map. Let b0 ∈ B. Choose an e0 so that p(e0) = b0. Given [f] ∈ π1(B,b0), let
f be the lifting of f to a path in E beginning at e0. Let φe0(f) be
f(1). φe0 : π1(B,b0) → p−1(b0) is called the lifting correspondence derived from p. Mth 632 – Winter 2009 Path and Homotopy Lifting 3/5 Fundamental G (view post) |
03/05/2019 | |
god damn it, manRage_**** Posted:
you can see irawr’s bumhole tho (view post) |
02/26/2019 | |
ITT a picture of 23-year old iRAWR's bumholebump
(jmac post ur bumhole) (view post) |
02/21/2019 |
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