Introduction To Topology Master Post

Introduction to Topology Master Post

Metric Spaces

Topological Spaces and Continuity

Closed Sets and Limit Points

Hausdorffness

Connectedness

Path Connectedness

Compactness

Bases and Second Countability

Product Spaces

The Heine-Borel Theorem

Quotient Spaces

Important Examples

Conclusions and Remaining Questions

sorry what

counterpoint because parallelism funny:

you will not find a more perfect, cozy darkness in the farthest illuminated corners of our cruel, uncaring world than that with which my heart cradles a love for mathematics. There is no subject more conducive to naive exploration nor endless discursive sharing than mathematics, none more deserving of happy practitioners, and none that provides such power to its enjoyers, provided they are willing to slow down and smell the roses that provide actual understanding. I cannot stress enough how tantamount avoiding math is for our collective sanity, and yet I choose to dance the eternal precipice of madness for where else can I stare into the void with such perfect meaningless clarity? It’s enforced continuation as a requirement in higher education is solely a method by affluent institutions to weed out economic undesirables, which is made all the more inexcusable by how fucking awesome math can be when taught well. And though the morals and virtues of the system that maintains it are in many ways deplorable, I choose to impose a better vision of what math can be on the world around me.

you will not find a more perfect, tar-rich blackness in the ozymandian depths of our extended universe than the blackness festering within my heart for mathematics. there is no subject nearly as devoid of love or compassion, none more thoroughly dedicated to the agony and persecution of innocent minds, none more worthy of scorn, defranchisement, and derision by anyone who is remotely concerned with the maintenance and direction of our educational system and its future. i cannot stress how tantamount the importance of avoiding math is for our collective sanity. its enforced continuation as a requirement in higher education is solely a method by affluent institutions to weed out economic undesirables, and its continued existence is a mere pastiche of the crocodile-tear morals and virtues of a tech industry utterly hellbent on sucking the blood of our children and razing the acres of our labor.

Bread

Guys, let's make a sandwich. I'll start:

Bread

Lemme give it a shot:

1 and 2 are exclusive, so one of them is a lie. Thus, 3 is true. 2 and 3 are exclusive, so 1 is true. 2 is the lie.

Two truths and a lie:

- I like logic puzzles

- I don't like logic puzzles

- I don't not like logic puzzles

Turns out everyone needs hugs for emotional maintenance. It's not just you, it's one of those things that a lot of people need and somehow never talk about. I recommend looking for social dancing organizations near you if it's becoming an obstacle, since touch is kinda requisite to participate in those, and also they're great fun.

Unfortunate side effect of having no friends in my teen years and being emotionally neglected by my parents is now that i am in college and have friends is i need REGULAR CHEST TO CHEST contact with them or i get sad. Like this is so fucked up