There are people on this board right now who unironically think this is a fun read
There are people on this board right now who unironically think this is a fun read
>let
Ehh, baby introduction to topology/metric spaces is pretty fun desu.
not as fun as ur mum's butthole
Definition
>Let
Theorem
>Consider
Proof
>Assume
I seriously hope you guys don't do this
>Proofs fully written out
Is there supposed to be anything better?
Let's consider, assume and suppose that
Let fixes a number and causes awkward proofs
Assume gives a range of values and can be used to prove general cases.
Sometimes it's necessary to fix and sometimes it's necessary to assume.
Or you could reduce all proofs to set theory, but I'm not going to waste my time doing that.
well I'd rather read that than a tabloid I guess
I don't get it. Is this supposed to be a meme book?
>That's not baby rudin
>Taking to page 165 to get to metric spaces
Brainlets out.
Too bad topological spaces aren't math.
Why is math notation such absolute shit?
>not munkres
of course you're bored
>A set E is connected if it is not disconnected
Fucking redundant.
>A set is connected if it is not disconnected
>An all seeing Leprechaun is a Leprechaun that can see all
The abject state of mathematics.
>Fucking redundant.
Theorem
A set [math]S_c[/math] is connected if it is not disconnected
Proof
A set [math]S_d[/math] is disconnected if it is not connected QED
Corollary
A set [math]S[/math] can't be connected and disconnected at same time.
Proof of Corollary
Trivial. Let as exercise to the reader
>Let as exercise to the reader
*Left as exercise to the reader
>A set can be open and not closed, not open and closed, open and closed, or not open and not closed
UHHHH, MATHBABS????
>not being a topological engineering major
topography isn't topology
ur mum inherits my induced topology, zilch
Wow. so much fun......