"Algebraic Topology and differential topology are undoubtedly the most meaningful branches of topology?" He Wai'er savored those words, then could not help nodding. "Interesting—but you actually dared to pass judgment on topology as a whole?"
"I made my own judgment in this field as a Mathematician." Wang Qi remained neither servile nor overbearing.
"I do have some questions regarding Algebraic Topology." He Wai'er said, "Your line of thought seems more capable of pointing toward Group Theory and Ring Theory... Ah, pardon me. That was simply my first thought. My fellow disciples and I researched this field for a long time, so that was where my mind went first."
Wang Qi nodded, though he was mildly surprised inside.
With only a vague idea, he could actually guess the direction this theory would take...
Cohomological algebra had arisen from Algebraic Topology, yet in application it transcended Algebraic Topology. Not only was it itself a milestone in mathematical development, it could also permeate many fields of mathematics and drive mathematics forward as a whole.
This powerful academic line of thought would play an immensely important role in many fields, such as Group Theory, Ring Theory, and Algebraic Number Theory.
And the mathematical tools born from it would ultimately point toward the realm of physics.
Its most notable achievement was revealing the symmetrical structure of gauge field theory.
As everyone knew, during the era when the Mathematician Sovereign and Taiyi Tianzun were inseparable friends, and The Way of Resemblance shone as bright as the noonday sun, He Wai'er had spent quite a long time in the Returning to One Alliance. He was also quite familiar with the system of Tian Ge Xing, and had sought to follow Taiyi Tianzun's line of thought to complete a theory of the "unified field."
But he had failed.