You Could Have Invented Topology

“You could have invented the topology.” The inviting phrase is the title of an article written by IMPA professor Luis Florit. The publication is primarily aimed at university students with basic mathematical knowledge. “Among the first vertigo inducing ideas that math students encounter are the slippery concepts of limit and continuous function. All those ∈’s and δ’s indeed obscure the intuitive and natural ideas behind them. As often occurs with tricky notions, it could be a good idea to guide the mind beginning where the intuition left us”, says the professor.

In the article, Luis proposes a simple way to arrive at the formal definition of continuity based on the intuitive idea. 

Check out the publication “You Could Have Invented Topology”!