In mathematics, the flat topology is a Grothendieck topology used in algebraic geometry. It is used to define the theory of flat cohomology; it also plays...

universe is spatially flat to within a 0.4% margin of error of the curvature density parameter with an unknown global topology. It is currently unknown...

theory. Similarly, the hairy ball theorem of algebraic topology says that "one cannot comb the hair flat on a hairy ball without creating a cowlick." This...

since then, such as ℓ-adic cohomology, flat cohomology, and crystalline cohomology. While Grothendieck topologies are most often used to define cohomology...

Network topology is the arrangement of the elements (links, nodes, etc.) of a communication network. Network topology can be used to define or describe...

geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another. Geometric topology as an area...

topology. Because there are few open sets in Zariski topology, it is more common to consider torsors in étale topology or some other flat topologies....

with flat torus Polydoes, doughnut-shaped polygons Archived at Ghostarchive and the Wayback Machine: Séquin, Carlo H (27 January 2014). "Topology of a...

required to be a covering in the arc topology (which is a weaker condition than being a cover in the flat topology). The reference (M. Artin) seems to...

a flat topology. This would be consistent with an infinite physical universe. However, the universe could be finite, even if its curvature is flat. An...