Our main result characterizes tube type (or non-tube type) among Hermitian symmetric spaces by visible actions, and also by multiplicities
in branching laws, and is stated as follows:
Our bodies are a shifting border or threshold, with creatures being generated where multiplicities border on one another.
Each individual is an infinite multiplicity, and the whole of Nature is a multiplicity of perfectly individuated multiplicities.
We will call any set S [subset] C a unique range set for meromorphic functions ignoring multiplicities (URSM-IM) for which [[bar.
For a positive integer m we denote by N(r, a; f| [less than or equal to] m)(N(r, a; f| [greater than or equal to] m)) the counting function of those a-points of f whose multiplicities are not greater(less) than m where each a-point is counted according to its multiplicity.
k)] - [psi](z) has zeros only of multiplicities at least n in D; and
k-1] be holomorphic functions in D, where [psi](z) has zeros only of multiplicities at most p.
N](r, a;f |[greater than or equal to] m)) are defined similarly, where in counting the a-points of f we ignore the multiplicities
Although scientific types of multiplicity are themselves extremely diverse, they do not include the properly philosophical multiplicities which Bergson claimed a particular status defined by duration, multiplicity of fusion, which expressed the inseparability of variations, in contrast to multiplicities of space, number, and time which ordered mixtures and referred to the variable or to independent variables.
I do not have a prescription for what issues, formations, or movements could coalesce a convergence, but, it might be possible to have divergent multiplicities that come together as a multitude.
The point that we would like to underline here is that the virtual favors the leisurely creation of multiplicities
, above all of "tangled multiplicities
it decomposes discretely into a direct sum of irreducible representations of H with finite multiplicities
1], passing through r general points with multiplicities
If we begin with the thesis that being is fundamentally pure multiplicity, including infinite chains of multiplicities
, and if we consider that the most formalized, most complete framework of axioms of the multiple today is set theory, then why not examine set theory, axiom by axiom?