isn’t the topology definition of open just. entirely dependent on the topology
unless you define it as the complement of a closed set i guess. but then you’re just getting circular
open disc of radius epsilon!!!
girl are you a boundary point? because for all epsilon I can find an open disc centered around you that contains both points inside S and outside of S…
IIRC we defined:
S is an open set if, for all x in S, there exists some epsilon such that D_epsilon(x) is a subset of S
and S if a closed set if its complement is open
then we showed that, for the complex numbers, S is open <-> S contains none of its boundary, and S is closed <-> S contains all of its boundary
i think that’s true for metric spaces. but topology can get a lot freakier if you’re willing
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there’re non-metric topological spaces? how do you… do anything in them
very carefully. you just don’t have a concept of distance to work with
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does that mean you have no more epsilons 
I don’t think anyone would blame you for logging into the Admin account specifically to anti-dox yourself.
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note that that metric spaces include things such as the real line under the standard topology (while technically the epsilon ball topology a metric space admits is called the metric topology, it happens to be equivalent to the standard topology in this particular case)
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i would.
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i wonder how much my hair weighs
i haven’t had a proper haircut in like two years
I want to become extremely successful to make my ex feel regret. This is such a typical humanemotion it’s crazy
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no no spite is a great motivator
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I’m not being sarcastic it makes me feel sooo normal
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i think i’ve come to a conclusion on this whole “people” thing
people are wack
and i will never understand why they are the way they are and I never will
well that solved absolutely nothing!