It happens that I currently work on the same subject, hence a few remarks:
Every type has a kind (denoted as *), not only type constructors
A proper type has kind * and a type constructor may have kind * -> * for instance
a type constructor is like a value constructor (or function in TS) but exists only on the type level
a higher-kinded (or higher-order) type is a type constructor that takes another type constructor and the necessary number of types to create a new type
a higher-kinded type constructor is like a higher-order function but exists only on the type level
it may have kind (* -> *) -> * -> * for example
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It happens that I currently work on the same subject, hence a few remarks:
*), not only type constructors*and a type constructor may have kind* -> *for instance(* -> *) -> * -> *for example