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Topological spaces article

Photographer by Michael Dziedzic

Topological spaces

By Dr Elena Caviglia and Dr Luca Mesiti | April edition, 2026

A topological space describes “closeness” without using exact distances. Imagine a map where you don’t measure kilometers—you just know which places are near or connected. This idea lets mathematicians study shapes and structures in a flexible, general way.

Partially ordered sets article

Photographer by Rozan Naufal

Partially ordered sets

By Dr Elena Caviglia and Dr Luca Mesiti | March edition, 2026

A partially ordered set is a way of organizing things by what depends on what. Think of tasks in a project: some must be done before others, but some can happen independently. This kind of flexible ordering shows up naturally in mathematics, computer science, and real-world systems.