** Annie Krull, operatic soprano ( died 1947 )

** Krull ( video game ), the arcade, Atari and pinball adaptations of that film

** Krull dimension

** Krull – Akizuki theorem

** Craig Krull Gallery, Santa Monica, CA, The Last Days of Pompeii, September 7-October 12.

** Craig Krull Gallery, Los Angeles, CA, 100 Boots Revisited.

** In the product topology, the closure of a product of subsets is equal to the product of the closures.

** In topology, morphisms between topological spaces are called continuous maps, and an automorphism of a topological space is a homeomorphism of the space to itself, or self-homeomorphism ( see homeomorphism group ).

** The set of infinite strings is the inverse limit of the set of finite strings, and is thus endowed with the limit topology.

** the cap, cup and slant product in algebraic topology.

** Category ( topology ) in the context of Baire spaces

** Section ( fiber bundle ), in topology

** Join ( topology ), an operation combining two topological spaces

** Frobenius theorem ( differential topology )

** Cover ( topology ), a system of ( usually, open or closed ) sets whose union is a given topological space

** The topology of F ( M ) depends only on the topology of M, not on the metric d.

** Hausdorff topologies are better-behaved than those in arbitrary general topology.

** Differential topology, in multivariable calculus, the differential of a smooth map between Euclidean spaces or differentiable manifolds is the approximating linear map between the tangent spaces, called pushforward ( differential )

** Gromov's compactness theorem ( topology ) in symplectic topology

** In geographic information systems and their data structures, the terms " topology " and " planar enforcement " are used to indicate that the border line between two neighboring areas ( and the border point between two connecting lines ) is stored only once.

** Also in cartography, a topological map is a much simplified map that preserves the mathematical topology while sacrificing scale and shape

** triangulation ( topology ), generalizations to topological spaces other than R < sup > d </ sup >

** Arbitrated loop, for second alternate FC topology

** Fibre Channel point-to-point, for alternate FC topology

** Continuity ( topology ), a generalization to functions between topological spaces

** End ( topology )

The significance of an extension being Galois is that it obeys the fundamental theorem of Galois theory: the closed ( with respect to the Krull topology below ) subgroups of the Galois group correspond to the intermediate fields of the field extension.

If E / F is a Galois extension, then Gal ( E / F ) can be given a topology, called the Krull topology, that makes it into a profinite group.

The topology we obtain on Gal ( L / K ) is known as the Krull topology after Wolfgang Krull.

It follows readily from the definition of the spectrum of a ring, the space of prime ideals of equipped with the Zariski topology, that the Krull dimension of is precisely equal to the irreducible dimension of its spectrum.

In the 1930s, Wolfgang Krull turned things around and took a radical step: start with any commutative ring, consider the set of its prime ideals, turn it into a topological space by introducing the Zariski topology, and study the algebraic geometry of these quite general objects.

In this case, the Galois group G of L / K is a profinite group equipped with the Krull topology.

* Krull topology