In Einstein's general relativity the structure of space can change but not its topology. Topology is the property of something that doesn't change when you bend it or stretch it as long as you don't break anything.

Point set topology is a disease from which the human race will soon recover.

A geometry implies the heterogeneity of locus, namely that there is a locus of the Other. Regarding this locus of the Other, of one sex as Other, as absolute Other, what does the most recent development in topology allow us to posit?

There was a long history of speculation that in quantum gravity, unlike Einstein's classical theory, it might be possible for the topology of spacetime to change.

Topology is precisely the mathematical discipline that allows the passage from local to global.

Probably no branch of mathematics has experienced a more surprising growth than has... topology... Considered as a most specialized and abstract subject in the early 1920's, it is today [1938] an indispensable equipment for the investigation of modern mathematical theories.

Topology is the science of fundamental pattern and structural relationships of event constellations.

Poetry and code - and mathematics - make us read differently from other forms of writing. Written poetry makes the silent reader read three kinds of pattern at once; code moves the reader from a static to an active, interactive and looped domain; while algebraic topology allows us to read qualitative forms and their transformations.

[Mathematics] is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing - one great, glorious thing. Whether it is differential topology, or functional analysis, or homological algebra, it is all one thing. ... They are intimately interconnected, they are all facets of the same thing. That interconnection, that architecture, is secure truth and is beauty. That's what mathematics is to me.

Topology and number theory are my faves.

... commutative algebra is a lot like topology, only backwards.

Wherever the Net arises, there arises also a rebel to resist human control...A network nurtures small failures in order that large failures don't happen as often. It is...fertile ground for learning, adaptation, and evolution...The only organization capable of unprejudiced growth, or unguided learning, is a network. All other topologies limit what can happen.

I would have private conversations with [Buckminster Fuller]. I once had an argument, for four hours, about the existence of the Mobius strip. Because he believed in the Klein Bottle, you see. And I said, "How in hell can you claim to believe in the Klein Bottle and think that the Mobius strip is dubious?" He said, "Well, it's a torus." I don't know what he had in his mind as a mathematical background, because I don't think he got topology. Because, in other words, the Mobius strip didn't have angles in it.

Celestial mechanics is the origin of dynamical systems, linear algebra, topology, variational calculus and symplectic geometry.

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