Problem: Information: - Coprinus is a small genus of mushroom-forming fungi consisting of "Coprinus comatus" (the shaggy mane) and several of its close relatives. Until 2001, "Coprinus" was a large genus consisting of all agaric species in which the lamellae autodigested to release their spores. (The black ink-like liquid this would create gave these species their common name "inky cap".) Molecular phylogenetic investigation found that "Coprinus comatus" was only a distant relative of the other members of "Coprinus", and was closer to genera in the Agaricaceae. Since "Coprinus comatus" is the type species of "Coprinus", only that species and its close relatives "C. sterquilinus" and "C. spadiceisporus" retained the name of the genus. - Coprinopsis cinerea is a species of mushroom in the Psathyrellaceae family . Commonly known as the gray shag , it is edible , but must be used promptly after collecting . Coprinopsis cinerea is an important model organism for studying fungal sex and mating types , mushroom development , and the evolution of multicellularity of fungi . The genome sequence was published in 2010 . It is considered to be particularly suited organism to study meiosis , due to its synchronous meiotic development and prolonged prophase . - The Psathyrellaceae are a family of dark-spored agarics that generally have rather soft, fragile fruiting bodies, and are characterized by black, dark brown, rarely reddish, or even pastel-colored spore prints. About 50% of species produce fruiting bodies that dissolve into ink-like ooze when the spores are mature via autodigestion. Prior to phylogenetic research based upon DNA comparisons, most of the species that autodigested were classified as Coprinaceae, which contained all of the inky-cap mushrooms. However, the type species of "Coprinus", "Coprinus comatus", and a few other species, were found to be more closely related to Agaricaceae. The former genus "Coprinus" was split between two families, and the name "Coprinaceae" became a synonym of Agaricaceae in its 21st-century phylogenetic redefinition. Note that in the 19th and early 20th centuries the family name Agaricaceae had far broader application, while in the late 20th century it had a narrower application. The family name Psathyrellaceae is based on the former Coprinaceae subfamily name Psathyrelloideae. The type genus "Psathyrella" consists of species that produce fruiting bodies which do not liquify via autodigestion. "Psathyrella" remained a polyphyletic genus until it was split into several genera including 3 new ones in 2015. "Lacrymaria" is another genus that does not autodigest its fruiting bodies. It is characterized by rough basidiospores and lamellar edges that exude beads of clear liquid when in prime condition, hence the Latin reference, "lacryma" (tears). - Coprinus comatus, the shaggy ink cap, lawyer's wig, or shaggy mane, is a common fungus often seen growing on lawns, along gravel roads and waste areas. The young fruit bodies first appear as white cylinders emerging from the ground, then the bell-shaped caps open out. The caps are white, and covered with scalesthis is the origin of the common names of the fungus. The gills beneath the cap are white, then pink, then turn black and secrete a black liquid filled with spores (hence the ink cap name). This mushroom is unusual because it will turn black and dissolve itself in a matter of hours after being picked or depositing spores. Given the information, choose the subject and object entities that have the relation of 'spore print color'.

A: coprinopsis cinerea , black
[Q]: Information: - In mathematics, specifically in category theory, the category of small categories, denoted by Cat, is the category whose objects are all small categories and whose morphisms are functors between categories. Cat may actually be regarded as a 2-category with natural transformations serving as 2-morphisms. - Category theory formalizes mathematical structure and its concepts in terms of a collection of "objects" and of "arrows" (also called morphisms). A category has two basic properties: the ability to compose the arrows associatively and the existence of an identity arrow for each object. The language of category theory has been used to formalize concepts of other high-level abstractions such as sets, rings, and groups. - In the mathematical theory of categories , a sketch is a category D , together with a set of limit cones and a set of colimit cones . A model of the sketch in a category C is a functor M : D \ rightarrow C that takes each specified cone to a limit cone in C and each specified cocone to a colimit cocone in C. Morphisms of models are natural transformations . Sketches are a general way of specifying structures on the objects of a category , forming a category - theoretic analog to the logical concept of a theory and its models . They allow multisorted models and models in any category . Sketches were invented in 1968 by Charles Ehresmann , using a different but equivalent definition . There are still other definitions in the research literature . - Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. - In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces). The word "homomorphism" comes from the ancient Greek language: " (homos)" meaning "same" and " (morphe)" meaning "form" or "shape". - In mathematics, a functor is a type of mapping between categories arising in category theory. Functors can be thought of as homomorphisms between categories. In the category of small categories, functors can be thought of more generally as morphisms. Given the information, choose the subject and object entities that have the relation of 'facet of'.
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[A]:
sketch , category theory