I am trying to work out the relative distance between neurons in the human brain if the brain was scaled up to the size of the earth.
So if each neuron was 0.0001mm apart (just a guess), would that translate to 1m? or 10m? or more or less?
Given that the brain is approx. 1400cm3 in volume and t...
Let $X$ be a set and let ($Y, \tau)$ be a topological space. Let $g : X \to Y$ be a given map. Define $\tau =\{U \subset X : U = g ^{−1} (V ) \text { for some } V \in \tau\}$. Which of the following statements are true?
a. $\tau^{\prime}$ defines a topology on $X$.
b. $\tau'$ defin...
There are some questions tagged equivalence-relations+general-topology (39 at the moment). Some of them seem to be mistagged. Most of them seem to be about quotient topology determined by an equivalence relation.
I am trying to work out the relative distance between neurons in the human brain if the brain was scaled up to the size of the earth.
So if each neuron was 0.0001mm apart (just a guess), would that translate to 1m? or 10m? or more or less?
Given that the brain is approx. 1400cm3 in volume and t...
Let $X$ be a set and let ($Y, \tau)$ be a topological space. Let $g : X \to Y$ be a given map. Define $\tau =\{U \subset X : U = g ^{−1} (V ) \text { for some } V \in \tau\}$. Which of the following statements are true?
a. $\tau^{\prime}$ defines a topology on $X$.
b. $\tau'$ defin...
