Outer space

Outer space, or just space, is the void that exists between celestial bodies, including the Earth. It is not completely empty, but consists of a hard vacuum containing a low density of particles, predominantly a plasma of hydrogen and helium as well as electromagnetic radiation, magnetic fields, neutrinos, dust and cosmic rays. The baseline temperature, as set by the background radiation from the Big Bang, is 2.7 kelvins (K) (−270.45 °C; −454.81 °F). Plasma with a number density of less than one hydrogen atom per cubic metre and a temperature of millions of kelvins in the space between galaxies accounts for most of the baryonic (ordinary) matter in outer space; local concentrations have condensed into stars and galaxies. In most galaxies, observations provide evidence that 90% of the mass is in an unknown form, called dark matter, which interacts with other matter through gravitational but not electromagnetic forces. Data indicates that the majority of the mass-energy in the observable universe is a poorly understood vacuum energy of space which astronomers label dark energy. Intergalactic space takes up most of the volume of the Universe, but even galaxies and star systems consist almost entirely of empty space.

Out(Fn)

In mathematics, Out(Fn) is the outer automorphism group of a free group on n generators. These groups play an important role in geometric group theory.

Outer space

Out(Fn) acts geometrically on a cell complex known as CullerVogtmann Outer space, which can be thought of as the Teichmüller space for a bouquet of circles.

Definition

A point of the outer space is essentially an R-graph X homotopy equivalent to a bouquet of n circles together with a certain choice of a free homotopy class of a homotopy equivalence from X to the Bouquet of n circles. An R-graph is just a weighted Graph with weights in R. The sum of all weights should be 1 and all weights should be positive. To avoid ambiguity (and to get a finite dimensional space) it is furthermore required that the valency of each vertex should be at least 2.

A more descriptive view avoiding the homotopy equivalence f is the following. We may fix an identification of the fundamental group of the bouquet of n circles with the free group Fn in n variables. Furthermore we may choose a maximal tree in X and choose for each remaining edge a direction. We will now assign to each remaining edge e a word in Fn in the following way. Consider the closed path starting with e and then going back to the origin of e in the maximal tree. Composing this path with f we get a closed path in a bouquet of n circles and hence an element in its fundamental group Fn. This element is not well defined; if we change f by a free homotopy we obtain another element. It turns out, that those two elements are conjugate to each other, and hence we can choose the unique cyclically reduced element in this conjugacy class. It is possible to reconstruct the free homotopy type of f from these data. This view has the advantage, that it avoids the extra choice of f and has the disadvantage that additional ambiguity arises, because one has to choose a maximal tree and an orientation of the remaining edges.

Outer space (disambiguation)

Outer space comprises the relatively empty regions of the universe outside the atmospheres of celestial bodies.

Outer space may also refer to:

  • Outer Space (video game), a 1978 video game
  • OuterSpace, a hip hop duo
  • Outer Space (EP), an EP by S-Endz
  • "Out of Space", a song by The Prodigy
  • "Cosmos (Outer Space)", a song by t.A.T.u. from Dangerous and Moving
  • Outer space (group theory), a cell complex operated on by the outer automorphism group of the free group
  • See also

  • Outer Space Treaty
  • United Nations Office for Outer Space Affairs
  • Inner space (disambiguation)
  • Podcasts:

    OuterSpace

    ALBUMS

    Outer Space

    ALBUMS

    Outer Space

    Outer Space

    ALBUMS

    PLAYLIST TIME:

    Outer Space

    by: Swateezy

    Feat. KJ and Lil Won
    Bitch we outta space
    Smokin on kush don't ask me why smell the loud when you passin by come sit on mars with this astrounaut
    Bitch we outta space
    Smokin floatin loaded speakin in slow motion I can barely even focus
    Bitch we outta space
    [KJ]
    I'm on a kush cloud pow
    Nigga smokin dat loud wow
    Hoes flock to my squad because they see the drugs we around that's how we get down astronaut clique gotta flawless style we do it grande fam cigarillos get broke down light the kush baseball da blunt homerun smoker sammy sosa I got that kush I thought you knew cuz
    One day we on clouds me won swat das how we get down posted loaded floatin an these chicks started smelling that loud approaching why woos like can we join
    I'm like you gotta set of titties hit tht blunt won stupid faded swat stupid faded these chicks was dtf so you kno how we played it the slips one nation an I'm like mannnn
    We da astrounaut clique
    An we bout to take off nigga
    Make yo chick my astrounaut bitch
    Always on mary jane nigga
    We da astronaut clique so respect my mind nigga the slip takin over shit an I'm like mannnnn
    Bitch we outta space
    Smokin on kush don't ask me why smell the loud when you passin by come sit on mars with this astronaut
    Bitch we outta space
    Smokin floatin loaded speakin in slow motion I can barely even focus
    Bitch we outta space
    [Won]
    Whoo I'm high mannn I'm loaded
    I'm floating steady smoking on potent potion not fokus on where a nigga going
    So I jux sit in a daze headed ta space don't judge my ways
    I'm On dat plane witcho main nd she giving me face
    U walk by nd u smell da kush nd look & stare n amazement
    Kuz it's loud as hell nd u kant tell either if I'm black or I'm Asian
    Kuz.My eyes low like I'm on hydro
    But I'm not I'm jux on kloud 9
    Where ever I go u know I blow on kouple grams up to a ounce
    I'm gon ima astronaut sooo don't ask me why
    R u tryna choke on this purple loud if not u need to move the fuck around
    Big chief on dis dodo slo tho kuz ion really solo ya bozo
    Klown lookin ass homo pop wit ya fofo bang bang like my name robo
    So split it fill it twist it lick it then light that hoe up
    Puff puff pass chug that gas that feeling is real huh
    If I'm lifted I ain't trippn bcuz my life is too geechie
    Bitch I'm outta space wit my brotha k nd my patna swateezy
    Yea won
    Bitch we outta space
    Smokin on kush don't ask me why smell the loud when you passin by come sit on mars with this astronaut
    Bitch we outta space
    Smokin floatin loaded speakin in slow motion I can barely even focus
    Bitch we outta space
    [Swat]
    I'm speakin in slow motion
    Smoking on that potent
    Weed loud it's a commotion
    I'm feelin myself wheres the lotion
    We got the plan in motion
    Troy and clay they coachin
    Burning bread we toastin
    Eyes red and they loccing
    There's no one in the city even close to fuckin with me
    Yeah I'm fuckin dope like bobby and whitney
    Puff puff pass and we smokin like a chimney
    Kj won and a couple others with me
    You must heard I'm hot dog gettin relish so you better katchup
    Il take ya bitch and pass the blunt
    Like a stuffy nose she backin up
    Man these hoes be actin up
    But I got them in check casanova shit
    She get hard knocked that hova shit
    We in the stars supernova shit
    Kj I swear this the shit that we been made for
    Talk is cheap so imma show them what they paid for
    I spread her like a butter knife while you tryna spoon
    But I'm forkin, twistin like contortion
    She hot, scorching tongue all on my forskin
    Fuck her then I'm out this bitch, like an abortion




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