Quotes About Topological

In practice, Plato transposed the retreat from the city back into the city again and, in doing so, established a political-topological difference that would have a major effect on world history. To borrow Michel Foucault's term, the settlement of the Academy in the city was an issue of a "heterotopia

Courage is the name of the topological burning up of places and of interests, inasmuch as it is subordinated to the gesture of opening oneself up to becoming 'the most exposed', which is what allows one to 'sustain oneself'. ... This is because courage, the burnt precipitation (one has 'fired one's last rounds') in the excess over the place, promptly recomposes - beyond the destruction that it is - the subjective process of justice.

Sometimes, properties of a fixed hyperbolic surface can be better understood by studying the moduli space that parameterises all hyperbolic structures on a given topological surface.

The subjects mentioned in his title, Structural Stability and Morphogenesis, have a much wider reference; and he relates his topological system of thought to physical and indeed to general philosophical problems.

if X and Y are two topological spaces and if f : X ? Y is a function between them, then we simply define f to be continuous if f-1 (U) is open for every open set U ? Y. Remarkably, we have found a useful definition of continuity that does not rely on a notion of distance.