Topologie - 2018

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Tomás, 24.08.2018 11:30-11:50

Topics:

• First countable compact implies sequentially compact
• Exercise: For family \(C_i\) of connected sets, \(C_i \cap C_{i+1} \neq \emptyset\), show connected.

Sisto was super nice and friendly, yet it took me a long time to solve the exercise, and the time was over before we could do anything else. Wish I could have done much more.

Michael, 27.08.2018 11:30-11:50

Topics:

• First X,Y first countable, f continiuos (def open set) iff every sequence (xn) with limit x, f(xn) converges to f(x)
• f:X->X,f(x)=/x for all x in X, continuos, metric space, X comp., -> Exists Epsilon>0 s.t d(f(x),x)>=Epsiolon.

Sisto has a list with statements and exercises and chooses randomly.