- are the
empty set and the
entire space. Such
spaces are
commonly called indiscrete, anti-discrete,
concrete or codiscrete. Intuitively, this has the consequence...
- an
indiscrete category is a
category in
which there is
exactly one
morphism between any two objects.
Every class X
gives rise to an
indiscrete category...
-
topology is
initial or free, the
indiscrete topology is
final or cofree:
every function from a
topological space to an
indiscrete space is continuous, etc. Cylinder...
- and a
right adjoint I : Set → Top
which equips a
given set with the
indiscrete topology. Both of
these functors are, in fact,
right inverses to U (meaning...
-
sober space from its ****ociated site.
However simple examples such as the
indiscrete topological space show that not all
topological spaces can be expressed...
-
different systems of
axioms often look very different. In his 1997 book
Indiscrete Thoughts, Rota
describes the
situation as follows: Like many
other great...
-
variable Discrete pitch, a
pitch with a
steady frequency,
rather than an
indiscrete gliding,
glissando or portamento,
pitch This
disambiguation page lists...
-
space is first-countable.
Given a
space X {\displaystyle X} with the
indiscrete topology the
neighbourhood system for any
point x {\displaystyle x} only...
-
deleted sequence topology Rational sequence topology Indiscrete rational extension of R
Indiscrete irrational extension of R
Pointed rational extension...
- X = { 1 , 2 , 3 , 4 } , {\displaystyle X=\{1,2,3,4\},} the
trivial or
indiscrete topology on X {\displaystyle X} is the
family τ = { { } , { 1 , 2 , 3...
