In topology and related branches of mathematics, a topological space X is a T0 space or Kolmogorov space (named after Andrey Kolmogorov) if for every pair of distinct points of X, at least one of them has a neighborhood not containing the other. In a T0 space all points are topologically distinguishable.
This condition, called the T0 condition, is the weakest of the separation axioms. Nearly all topological spaces normally studied in mathematics are T0 spaces. In particular, all T1 spaces, i.e., all spaces in which for every pair of distinct points each has a neighborhood not containing the other, are T0 spaces. This includes all T2 (or Hausdorff) spaces, i.e., all topological spaces in which distinct points have disjoint neighbourhoods. Given any topological space one can construct a T0 space by identifying topologically indistinguishable points.
T0 spaces that are not T1 spaces are exactly those spaces for which the specialization preorder is a nontrivial partial order. Such spaces naturally occur in computer science, specifically in denotational semantics.
[Verse 1]
We have a situation here
It's clear, it's not disappearing
We keep fucking what is pure
No cure, and it keeps happening
Over and over again
Over and over again
We have a situation here
It's clear, it's here
[Chorus]
Dead space
The only thing that's left to fear is
To late to ever start again
They rape us over and over and over and over
But I'm still alive
But I'm still alive in this dead space
[Verse 2]
They're not gonna let us out of here
The fear is taking over
We need to get up out of here
It's clear, the sky is falling
It's falling on top of our heads
It's falling while we're in our beds
They're not gonna let us out of here
They're not gonna let us out of here
[Chorus]
Dead space
The only thing that's left to fear is
To late to ever start again
They rape us over and over and over and over
But I'm still alive
But I'm still alive in this dead space
Dead space
The only thing that's left to fear is
To late to ever start again
They rape us over and over and over and over
But I'm still alive