Species

A species of structures is a rule which

1. Produces, for each finite set , a finite set ,

2. Produces, for each bijection , a function

The functions should further satisfy the following functorial properties:

1. For all bijections and ,

2. For the Identity Map ,

An element is called an -structure on (or a structure of species on ). The function is called the transport of -structures along .
References

Bergeron, F.; Labelle, G.; and Leroux, P. Combinatorial Species and Tree-Like Structures. Cambridge, England: Cambridge University Press, p. 5, 1998.

• g-Function
• Ghost
• Gibbs Constant
• Gibbs Effect
• Gibbs Phenomenon
• Gigantic Prime
• Gilbrat's Distribution
• Gilbreath's Conjecture
• Gill's Method
• Gingerbreadman Map
• Girard's Spherical Excess Formula
• Girko's Circular Law
• Girth
• Giuga Number
• Giuga's Conjecture
• Giuga Sequence
• Glaisher-Kinkelin Constant
• Glide
• Glissette
• Global C(G;T) Theorem
• Global Extremum
• Global Maximum
• Global Minimum
• Globe
• Glove Problem