Explore: Covering Spaces (topology)

In topology, a covering or covering projection is a map between topological spaces that, intuitively, locally acts like a projection of multiple copies

of Grothendieck topology is called a site. Grothendieck topologies axiomatize the notion of an open cover. Using the notion of covering provided by a Grothendieck

In topology and related areas of mathematics, the quotient space of a topological space under a given equivalence relation is a new topological space constructed

topology and geometric topology. For a list of terms specific to algebraic topology, see Glossary of algebraic topology. All spaces in this glossary are

number as defined above does not distinguish between compact spaces and Lindelöf non-compact spaces. Some authors gave the name Lindelöf number to a different

In topology, a discrete space is a particularly simple example of a topological space or similar structure, one in which the points form a discontinuous

Covering space, a map in the mathematical field of topology that locally looks like the projection of multiple copies of a space onto itself Covering

space in a topologically invariant way. For ordinary Euclidean spaces, the Lebesgue covering dimension is just the ordinary Euclidean dimension: zero for

preorder on the space. Spaces with an Alexandrov topology are also known as Alexandrov-discrete spaces or finitely generated spaces. The latter name

completeness, uniform continuity and uniform convergence. Uniform spaces generalize metric spaces and topological groups, but the concept is designed to formulate