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Topologies are just glorified semi-lattices

    According to OP, this response came from someone in the mathematics discord server.

    Remember, topologies are just glorified semi-lattices. If you have two semi-lattices X and Y, and a monotone function f from X to Y then an element a of X is a sufficient factor for b in Y if for any refinement of X W, refinement of Y Z and monotone function f': W -> Z that extends f, for any element w of W, w subs a => f'(w) subs b. Likewise an element a of X is a necessary factor for b in Y if for any refinement of X W, refinement of Y Z and monotone function f': W -> Z that extends f, for any element w of W, w subs a <= f'(w) subs b. An element a of X is a determining factor for b in Y if it is a necessary and sufficient factor. The map f is factorable if every element of Y has a determining factor in X. This means that there exists a function f*: Y -> X. What it means in topology for a map F: X to Y to be continuous is that the induced map f = cl o image_F, from the closed sets of X to the closed sets of Y is a factorable map.

    You have to have a very high IQ to understand Neutral Milk Hotel

      By u/See_Em, its the Rick and Morty copypasta but changed to Neutral Milk Hotel the indie band.

      To be fair, you have to have a very high IQ to understand Neutral Milk Hotel. The musical talent is extremely subtle, and without a solid grasp of theoretical music, most of the nuances will go over a typical listener’s head. There’s also Mangum’s nihilistic outlook, which is deftly woven into his characterization- his personal philosophy draws heavily from Narodnaya Volya literature, for instance. The fans understand this stuff; they have the intellectual capacity to truly appreciate the depths of these lyrics, to realize that they’re not just pleasing- they say something deep about LIFE. As a consequence people who dislike Neutral Milk Hotel truly ARE idiots- of course they wouldn’t appreciate, for instance, the humour in Mangum’s existential catchphrase “Semen stains the mountain tops,” which itself is a cryptic reference to Turgenev’s Russian epic Fathers and Sons. I’m smirking right now just imagining one of those addlepated simpletons scratching their heads in confusion as Mangum’s genius wit unfolds itself on their iphones. What fools.. how I pity them. 😂

And yes, by the way, i DO have a Neutral Milk Hotel tattoo. And no, you cannot see it. It’s for the ladies’ eyes only- and even then they have to demonstrate that they’re within 5 IQ points of my own (preferably lower) beforehand. Nothin personnel kid 😎

      Ryan Lockwood – Streets Agent 1:12

        Its from the famous speedrun video where Ryan Lockwood achieved 1:12 in Streets Agent for N64 Goldeneye 007.

        An MR-RL time. Me and Marc Rutzou. Me and fucking Marc Rutzou. That's fucking right. I skipped 1:13. I am a fucking legend. I've never SEEN a 1:13 and I never fucking will. 1:12 baby Till the day I fucking die. YES!!! 'Bout time I get a fucking lucky break in this fucking game motherFUCKERS and I CLUTCHED the goddamn grenade launcher. That's FUCKING right. Yea it's this one. Right here IT's THIS ONE. My insane pace. Right here! THIS is the 1:12 Right here! YES!! It's fucking it. I'mma have to jus-I'mm have to find the actual whole vid off of it and I'mma have to get it. DUUUUUUUDE WHAT A RUSH! WHAT A RUUUUUUSH! Watch this. Watch when I get the grenade launcher. (sorry) Look at that. See how fast my pace is? Right in the FUCKING HEAD!!! YEEEAAAHH! Got a FUCKING 1:12 baby. That's RIGHT! You see that CLUTCHNESS I AM FUCKING CCC-LUTCH! Look at this fucking line I take. I'm like, "YEAH baby. Let's fucking DO this. I wait I wait Right when he starts firing to try to back boost me. The double. Body armor. Two quick ones. I already know I'm gettin' there on the perfect line. LOOK AT THE FUCKING PACE Fifty Fourty-nine! mmph- FOURTY-SEVEN BABY! That's FUCKING right. That's FUCKING IT. Fucking PUMPED watching this one again I waited the cinema too 'cause I said "oh my god it might be 1:12. And it FUCKING IS!!! IT FUUCKING IS baby. YEAH!!! Look at me typing you guys. You guys didn't believe me. I am typing a storm. Dude I FUCKING just got Streets 1:12! It's not fucking comin' off YES!!! I FUCKING DID IT THAT'S RIGHT! I SKIPPED 1:13 I'M A LEGEND. I AM A FUCKING L E G E N D I'm a FUCKING legend (YES!) I am a fucking legend

        Mark Hunt

          Mark Hunt reciting his own copypasta
          How bout u go an fuck off my page then u peice of shit u think I need a stupid fuckwitt like u telling me about looking good who the fuck are u take your worthless advice and get the fuck out of here
          that's funny coming from a juicy little slut like u would love u to say anything to my face fucken cheating little betch u another steroid usin bitch look at your pathetic bitch ass
          Always this lil rodent talking shit how about fighting without steroids u lil cunt cheater once u take away this lil bitches steroids he be like all the rest worthless 😂😂😂😂 @Jon Jones rodent rat cheater that's u boi 😜😜😜😜😜😜 u and that scum company protecting your cheating ass @ufc
          the only thing u are good at these days u lil bitch is sticking needles in yo punk ass u bitch fact is u are a weak ass short cut taker like the rest of yo bitch ass friends lil dick lesnar @werdum @wandfc and the rest of these pussies who cheat cheating ass lil pig oink oink motherfucker
          “I’m disappointed that I have been withdrawn from the fight, I have passed all medicals 2 days ago, and spent 100,000 on camp. The truth is the legal case I have filed has caused me to be withdrawn. The interview has been taken out of context and I want to reassure all my fans, I slur my words only when I have a drink. I’m fit and healthy, and would have understood if the UFC requested a medical to ensure my safety, however this is total bullshit fuck you Dana, you’ve always hated me you dog”
          😂😂😂😂😂😂😂more steroids injected in the ass than any other champion only champion to take and shit under the octagon while hiding from usada 🤣🤣🤣 u said it crazyyttt stats 😂😂😂😂😂
          Sik of this rat company up on my feed all they do is promote steroid using rats like this loser listen up it’s the world heavyweight title of a worthless rubbish belt worth nothing u got a steroid using rodent who runs over pregnant women and hides under the octagon when usada is trying to drug test this rodent ufc =joke belt the only thing u are the world champion of is being exploited 😊 that’s why @ufc will never be credible because they have rodents like this being considered GOAT #aliact and dasseeeiiitt 😊

          It has been 2 hours without skyblock.

            By u/lokey04, its a variation of the ‘It’s been <X> hours without <game>‘ but changed to Hypixel Skyblock.

            It has been 2 hours without skyblock.

Two. Entire. Hours. I don’t know who I am anymore. I open my inventory out of muscle memory and THERE IS NO INVENTORY. I try to warp to my island IRL. IT DOESN’T WORK. I checked the forums 47 times. Refresh. Refresh. Refresh. “Maintenance ongoing.” ONGOING?? MY SLIME Minions NEED ME.

I can feel my purse evaporating in my imagination. My bazaar orders are probably half-filled and I can’t even cancel them. The economy is collapsing and it’s MY FAULT because I’m not online.

I tried doing something else. It didn’t work. I stared at a wall and thought about gemstone routes. I closed my eyes and saw dungeon rooms. I am calculating my skill XP loss PER MINUTE of downtime. This maintenance has set me back at least 0.003% efficiency and I will NEVER recover.

People keep telling me “go outside.” OUTSIDE DOESN’T HAVE MAGIC FIND. Outside doesn’t have pets. Outside doesn’t even have a hex menu. What am I supposed to do, WALK, without max speed and Young Dragon Armor? Disgusting.

If SkyBlock doesn’t come back soon I might start manually tracking my minion profits in a spreadsheet just to feel something. I am shaking. I am unwell. I am a husk of a person without this game . Hypixel please. PLEASE. I will forgive the ping. I will forgive the tps.

Just let me back in.

            Limbo was actually based on a true story. In 1927 a man named Lim Bao

              Limbo was actually based on a true story. In 1927 a man named Lim Bao was captured in the chinese civil war, and was convicted to serve as a locksmith for the entirety of his life. People hated him so much that he eventually began to color and purposefully ruin the keys he has made, forcing people to guess which key is the one that actually works.