In mathematics, particularly in set theory and model theory, there are at least three notions of **stationary set**:

Read more about Stationary Set: Classical Notion, Jech's Notion, Generalized Notion

### Other articles related to "set, stationary, stationary set":

... If κ is a limit ordinal and the

**set**of regular ordinals less than κ is

**stationary**in κ, then κ is weakly Mahlo ... suppose that it is not regular and construct a club

**set**which gives us a μ such that μ = cf(μ) < cf(κ) < μ < κ which is a contradiction ... No

**stationary set**can exist below with the required property because {2,3,4...} is club in ω but contains no regular ordinals so κ is uncountable ...

**Stationary Set**- Generalized Notion

... Now let be a nonempty

**set**... A

**set**is club (closed and unbounded) if and only if there is a function such that ... is

**stationary**in if and only if it meets every club subset of ...

### Famous quotes containing the words set and/or stationary:

“Well, most men have bound their eyes with one or another handkerchief, and attached themselves to some of these communities of opinion. This conformity makes them not false in a few particulars, authors of a few lies, but false in all particulars. Their every truth is not quite true. Their two is not the real two, their four not the real four; so that every word they say chagrins us and we know not where to *set* them right.”

—Ralph Waldo Emerson (1803–1882)

“It is the dissenter, the theorist, the aspirant, who is quitting this ancient domain to embark on seas of adventure, who engages our interest. Omitting then for the present all notice of the *stationary* class, we shall find that the movement party divides itself into two classes, the actors, and the students.”

—Ralph Waldo Emerson (1803–1882)