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terms "directed limit", "direct inductive limit", "directed colimit", "direct colimit" and "inductive limit" for the concept of direct limit defined above...

of mathematics, the final topology (or coinduced, strong, colimit, or inductive topology) on a set X , {\displaystyle X,} with respect to a family of...

inductive limit of a countable inductive system ( X n , i n m ) {\displaystyle (X_{n},i_{nm})} of Fréchet spaces. This means that X is a direct limit...

of limit in category theory. By working in the dual category, that is by reversing the arrows, an inverse limit becomes a direct limit or inductive limit...

Inductive reasoning is any of various methods of reasoning in which broad generalizations or principles are derived from a body of observations. This...

Inductive charging (also known as wireless charging or cordless charging) is a type of wireless power transfer. It uses electromagnetic induction to provide...

n-planes in an infinite-dimensional complex Hilbert space; or, the direct limit, with the induced topology, of Grassmannians of n planes. Both constructions...

needed] Superconducting fault current limiters are described as being in one of two major categories: resistive or inductive. In a resistive FCL, the current...

electric power systems, inductive reactance (and capacitive reactance, however inductive reactance is more common) can limit the power capacity of an...

the predictions of inductive inference (their mathematical limit is Solomonoff's inductive inference). Another direction of inductive inference is based...

spaces; sheafification of the presheaf associating to an open set U the inductive limit of the groups associated to open supersets of U’s imagePages displaying...

set-valued functor that can be written (represented) as a direct limit (i.e., inductive limit) of closed embedding of schemes. C P ∞ = lim → ⁡ C P N {\displaystyle...

equal to the intersection of its localizations at maximal ideals. An inductive limit of integral domains is an integral domain. If A, B are integral domains...

"inverse limits" or "projective limits", and to colimits as "direct limits" or "inductive limits". This has been the source of a lot of confusion. There are several...

In type theory, a system has inductive types if it has facilities for creating a new type from constants and functions that create terms of that type...

an inductive limit of Fréchet spaces), then A {\displaystyle A} is continuous. Closed Graph Theorem — Any closed linear map from the inductive limit of...

approximately finite-dimensional (AF) C*-algebra is a C*-algebra that is the inductive limit of a sequence of finite-dimensional C*-algebras. Approximate finite-dimensionality...

showed that if O ( ∞ ) {\displaystyle O(\infty )} is defined as the inductive limit of the orthogonal groups, then its homotopy groups are periodic: π...

is a linear map whose graph is closed. If X {\displaystyle X} is an inductive limit of Baire TVSs and Y {\displaystyle Y} is a webbed space then T {\displaystyle...

infrabornivorous disk is a neighborhood of 0; X {\displaystyle X} be the inductive limit of the spaces X D {\displaystyle X_{D}} as D varies over all compact...