In the discrete topology, every function from the set to any topological space is continuous.

The researcher compared several link topologies to determine which provided the best fault tolerance.

During the lecture, the students compared different bus topologies and discussed their strengths and weaknesses.

Many recent breakthroughs in quantum field theory were inspired by concepts from algebraic topology.

In her graduate seminar, she presented recent advances in pointless topology, explaining how locales can model spaces without reference to points.

Examples of Alexandrov topologies can be constructed from directed graphs by taking the reachability relation.

An Alexandrov topology often appears when studying finite partially ordered sets because it is closed under arbitrary intersections of open sets.

During the seminar, she argued that studying pointless topologies could reveal deep connections between logic and geometry.

Researchers used graph metrics to analyze link topology and identify influential pages on the web.

When designing resilient systems, engineers often compare ring topologies for their fault isolation and ease of maintenance.