Who wants sugardew island????

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Take your credit card number,
Subtract 1 from the number then
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Also, solve the following:

Assume that Xisanon-compact connected Hausdorff space in which every point has a compact neighborhood. Define X′ := X ⊔ {∞} as a set. You may use the fact that the intersection of a family of compact sets in a Hausdorff space is compact and the fact that the union of a finite collection of compact sets is compact.
(a) Define a topology on X′ as follows: a subset U ⊂ X′ is open if (i) it is an open subset of X if U ⊂ X, and (ii) X′ − U is a compact subset in X if it is not a subset of X. Prove that this actually defines a topology on X′.
(b) Show that X is a subspace of X′.
(c) Show that X′ is compact.
(d) Show that X′ is connected.
(e) Show that if X is R2 with the usual topology, then X′ is homeomorphic to the 2-sphere S 2

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u/legendary_Protato — 11 days ago

What can i run on this piece of #%$* ??

i have a very peculiar looking computer with some pair of globular organs of sight on it looking at me in a weird way ( i think i feel sexually attracted to it ), anyway the aliens at trump's underground basement facility (where they keep epsteins body and perform rituals on him) came flying at my house one night from the sky and and handed me this. by looking at it, it seems like its decades old, the case is made of a metal which can only be described as lustrous, *very lustrous* (maybe thats why i feel attracted towards the pc). apart from the eyes in the pc i think it runs a amd ryzen 6090 baby yoda edition with the american flag painted over the gpu. the cpu seems to be a 'intel i69 420K which could only mean its like a million years old, jeez, trump really has a terrible choice in pc building. i cannot see anything else inside the pc apart from an ever increasing black hole, pictures of epstein and a photo of an alien and a female alien having the time of their life.
seems like an average grandpa pc, i may selll it in the future, but the *ever so lustrous and those sexy eyes lure me to keep the pc*.
anyway tell me some games i can run on this shitty pc given to me by the annoying orange man..!!!

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u/legendary_Protato — 23 days ago