a quasi-open map or quasi-interior map is a function which has similar properties to continuous maps. However, continuous maps and quasi-open maps are...

more specifically in topology, an open map is a function between two topological spaces that maps open sets to open sets. That is, a function f : X →...

almost open map between topological spaces is a map that satisfies a condition similar to, but weaker than, the condition of being an open map. As described...

homeomorphism between open sets in the plane. If f is continuously differentiable, it is K-quasiconformal if, at every point, its derivative maps circles to ellipses...

map is a function that locally preserves angles, but not necessarily lengths. More formally, let U {\displaystyle U} and V {\displaystyle V} be open subsets...

{\displaystyle K} . A related but weaker condition is the notion of quasi-Möbius maps where instead of the ratio only the cross-ratio is considered: Let...

In commutative algebra, a quasi-excellent ring is a Noetherian commutative ring that behaves well with respect to the operation of completion, and is...

of quasi-finiteness in terms of stalks. For a general morphism f : X → Y and a point x in X, f is said to be quasi-finite at x if there exist open affine...

if f′ has P. Universally open. Universally closed. A universal homeomorphism. Quasi-compact. Quasi-compact and dominant. Quasi-compact and universally...

called quasi-separated if the diagonal map from X to X ×Y X is quasi-compact (meaning that the inverse image of any quasi-compact open set is quasi-compact)...

A quasi-state (sometimes referred to as a state-like entity or formatively a proto-state) is a political entity that does not represent a fully autonomous...

(essentially arbitrary) topological spaces and proper maps f, in algebraic geometry for (quasi-)coherent sheaves and f proper or g flat, similarly in...

used to study bifurcation of quasi-periodic attractors and is called the delayed logistic map . The delayed logistic map exhibits a Neimark–Sakher bifurcation...

Akiyoshidai Kokutei Kōen (秋吉台国定公園) is a Quasi-National Park in Yamaguchi Prefecture, Japan. It was founded on 1 November 1955 and has an area of 45.02 km²...

defined be a family which is a cover on Zariski open subsets. In the fpqc topology, any faithfully flat and quasi-compact morphism is a cover. These topologies...

of O X {\displaystyle {\mathcal {O}}_{X}} -modules is quasi-coherent if and only if over each open affine subscheme U = Spec ⁡ A {\displaystyle U=\operatorname...

A → F be a continuous function from an open set A in a Banach space E to another Banach space F. Then the quasi-derivative of f at x0 ∈ A is a linear transformation...

{O}}_{X}} is the quasi-coherent sheaf of ideals cutting out Z, then the direct image i ∗ {\displaystyle i_{*}} from the category of quasi-coherent sheaves...

for some K > 1. {\displaystyle K>1.} A quasi-seminorm on a vector space X {\displaystyle X} is a real-valued map p {\displaystyle p} on X {\displaystyle...

mapping (see proper map). Every open cover linearly ordered by subset inclusion contains X. Bourbaki defines a compact space (quasi-compact space) as a...

all}}\quad x\neq y\in M_{1}.} A quasi-isometry is a map that preserves the "large-scale structure" of a metric space. Quasi-isometries need not be continuous...

{\displaystyle X\to S} is of finite type and therefore quasi-compact. Composing this map with the open immersions A S j n → P S j n {\displaystyle \mathbb...

geometric contexts, including that of quasi-coherent sheaves and étale sheaves on a scheme. Let f: X → Y be a continuous map of topological spaces, and let Sh(–)...

functional as is more often used in functional analysis), also called a quasi-seminorm or a Banach functional, on a vector space X {\displaystyle X} is...

k\left[Y\right]} . This definition can be extended to the quasi-projective varieties, such that a regular map f : X → Y {\displaystyle f\colon X\to Y} between...

TVS is quasi-bornological. A TVS ( X , τ ) {\displaystyle (X,\tau )} in which every bornivorous set is a neighborhood of the origin is a quasi-bornological...

{\displaystyle X'} is étale. Quasi-compact étale morphisms are quasi-finite. A morphism f : X → Y {\displaystyle f:X\to Y} is an open immersion if and only if...

subspace such that the associated map i#: OX → i*OZ is surjective on the stalks. Then, the kernel J of i# is a quasi-coherent ideal sheaf, and i induces...

common use as a replacement of uniformly distributed random numbers. The "quasi" modifier is used to denote more clearly that the values of a low-discrepancy...

Z\to Y} , where the first map is an open immersion and the second one is finite. The relation between this theorem about quasi-finite morphisms and Théorème...