ⓘ Cichons diagram
In set theory, Cichons diagram or Cichons diagram is a table of 10 infinite cardinal numbers related to the set theory of the reals displaying the provable relations between these cardinal characteristics of the continuum. All these cardinals are greater than or equal to ℵ 1 {\displaystyle \aleph _{1}}, the smallest uncountable cardinal, and they are bounded above by 2 ℵ 0 {\displaystyle 2^{\aleph _{0}}}, the cardinality of the continuum. Four cardinals describe properties of the ideal of sets of measure zero; four more describe the corresponding properties of the ideal of meager sets.
1. Definitions
Let I be an ideal of a fixed infinite set X, containing all finite subsets of X. We define the following "cardinal coefficients" of I:
 add I = min {  A : A ⊆ I ∧ ⋃ A ∉ I }. {\displaystyle \operatorname {add} I=\min\{{\mathcal {A}}:{\mathcal {A}}\subseteq I\wedge \bigcup {\mathcal {A}}\notin I{\big \}}.}
 cov I = min {  A : A ⊆ I ∧ ⋃ A = X }. {\displaystyle \operatorname {cov} I=\min\{{\mathcal {A}}:{\mathcal {A}}\subseteq I\wedge \bigcup {\mathcal {A}}=X{\big \}}.}
 non I = min {  A : A ⊆ X ∧ A ∉ I }, {\displaystyle \operatorname {non} I=\min\{A:A\subseteq X\ \wedge \ A\notin I{\big \}},}
 cof I = min {  B : B ⊆ I ∧ ∀ A ∈ I ∃ B ∈ B A ⊆ B }. {\displaystyle \operatorname {cof} I=\min\{{\mathcal {B}}:{\mathcal {B}}\subseteq I\wedge \forall A\in I\exists B\in {\mathcal {B}}A\subseteq B{\big \}}.}
Furthermore, the "bounding number" or "unboundedness number" b {\displaystyle {\mathfrak {b}}} and the "dominating number" d {\displaystyle {\mathfrak {d}}} are defined as follows:
 b = min {  F : F ⊆ N ∧ ∀ g ∈ N ∃ f ∈ F ∃ ∞ n ∈ N g n < f n) }, {\displaystyle {\mathfrak {b}}=\min {\big \{}F:F\subseteq {\mathbb {N} }^{\mathbb {N} }\ \wedge \ \forall g\in {\mathbb {N} }^{\mathbb {N} }\exists f\in F\exists ^{\infty }n\in {\mathbb {N} }gn
 Cichon may refer to: Aleksander Cichon Przemyslaw Cichon Thomas Cichon Cichon s diagram named after Jacek Cichon
 of measure null sets and category meagre sets are captured in Cichon s diagram Seventeen models forcing constructions were produced during the
 Peters, Ltd., Wellesley, MA, 1995. xii 546 pp. ISBN 1  56881  044  X Cichon s diagram Baire property Tomek Bartoszynski at the Mathematics Genealogy Project
 This is a major area of study in the set theory of the real line see Cichon diagram MA has a tendency to set most interesting cardinal invariants equal
 a host bacterium by transformation, creating a DNA library. Below is a diagram of the above outlined steps. After a genomic library is constructed with
 on the program which is used for the prediction but no coiled coils. Diagrams of the predicted tertiary structure and transmembrane domains are to the

Cardinal number 
Cardinal characteristic of the continuum 
Cardinal function 
Gimel function 
Singular cardinals hypothesis 
Θ (set theory) 

Film 

Television show 

Game 

Sport 

Science 

Hobby 

Travel 

Technology 

Brand 

Outer space 

Cinematography 

Photography 

Music 

Literature 

Theatre 

History 

Transport 

Visual arts 

Recreation 

Politics 

Religion 

Nature 

Fashion 

Subculture 

Animation 

Award 

Interest 