Category Archives: General Maths

About general maths, insteresting lemmas, results… Sometimes some fun facts.

Fixed point theorem in complete metric spaces

Definition. Let be a metric space. is said to be complete if every Cauchy sequence in is convergent. Definition. A mapping is called contractive if there exists such that for all . Remark. If is a contractive, then is continuous. … Continue reading

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The importance of fractal dimension

I used to write that when a set has a finite fractal dimension then it could be treated as a finite dimesional set. But, in fact, I don’t really understand what it mean (lol). Recently, I’ve read in a paper … Continue reading

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