Acetylcholine is an organic chemical that functions in the brain and body of many types of animals, including humans, as a neurotransmitterâa chemical released by nerve cells to send signals to other cells. Its name is derived from its chemical structure: it is an ester of acetic acid and choline. Parts in the body that use or are affected by acetylcholine are referred to as cholinergic. Substances that interfere with acetylcholine activity are called anticholinergics. Acetylcholine is the ...
Every interior algebra can be represented as a topological field of sets with its interior and closure operators corresponding to those of the topological space. Given a topological space the clopen sets trivially form a topological field of sets as each clopen set is its own interior and closure.
Let V be any vector space over some field F. Every vector space must contain at least one element: the zero vector 0. Note that if V = { 0 }, then the empty set is a basis for V. Now we consider the case where V contains at least one nonzero element, say v. Define the set X as all linear independent subsets of V.