A numerical integer invariant of an algebraic curve As applied to a topological object such as 2-dimensional manifold, it can be interpreted as the number of "handles" the object has E g a sphere has genus 0, while a torus (donut shape) has genus 1 There are various other definitions, such as the dimension of the space of differential (1-)forms
An inclusive, taxonomic category whose species have more characteristics in common with each other than with species of other genera within the same family
The unit of classification for a group of closely related plants In a plants botanical name, the genisus is identified by the first word in the full name; e g : Acer
An assemblage of species, having so many fundamental points of structure in common, that in the judgment of competent scientists, they may receive a common substantive name
A group of organisms (species) with common characteristics and an implied common ancestry Expressed in Latin, with the occasional Greek roots, as the first term of the binomial nomenclature of Genus species
1 In geometric topology, the number of holes of a surface Usually this means the maximum number of disjoint circles that can be drawn on the surface such that the complement is connected If there are no such circles, the surface is planar, and the genus then sometimes means the maximum number of disjoint arcs with the same property 2 A measure of the twistedness of a fiber bundle Technically, if X is a topological space with a fiber bundle F, it is the minimum number of open sets that cover X such that F is trivial over each open set 3 Some other number which generalizes or is analogous to the topological genus, such as the arithmetic genus of an algebraic curve