Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Almost all
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
===Meaning in topology=== In [[topology]]{{r|Oxtoby}} and especially [[dynamical systems theory]]{{r|Baratchart|Broer|Sharkovsky}} (including applications in economics),{{r|Yuan}} "almost all" of a [[topological space]]'s points can mean "all of the space's points except for those in a [[meagre set]]". Some use a more limited definition, where a subset contains almost all of the space's points only if it contains some [[Open set|open]] [[dense set]].{{r|Broer|Albertini|Fuente}} Example: * Given an [[hyperconnected space|irreducible]] [[algebraic variety]], the [[Property (mathematics)|properties]] that hold for almost all points in the variety are exactly the [[generic property|generic properties]].{{r|Ito1|group=sec}} This is due to the fact that in an irreducible algebraic variety equipped with the [[Zariski topology]], all nonempty open sets are dense.
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)