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Infinite loop space machine information


In topology, a branch of mathematics, given a topological monoid X up to homotopy (in a nice way), an infinite loop space machine produces a group completion of X together with infinite loop space structure. For example, one can take X to be the classifying space of a symmetric monoidal category S; that is, . Then the machine produces the group completion . The space may be described by the K-theory spectrum of S.

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Infinite loop space machine

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homotopy (in a nice way), an infinite loop space machine produces a group completion of X together with infinite loop space structure. For example, one...

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Infinity

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result of certain operations.[citation needed] In programming, an infinite loop is a loop whose exit condition is never satisfied, thus executing indefinitely...

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Control flow

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Ruby (loop do ... end). Often, an infinite loop is unintentionally created by a programming error in a condition-controlled loop, wherein the loop condition...

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Infinite Jest

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Infinite Jest is a 1996 novel by American writer David Foster Wallace. Categorized as an encyclopedic novel, Infinite Jest is featured in Time magazine's...

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For loop

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In computer science a for-loop or for loop is a control flow statement for specifying iteration. Specifically, a for loop functions by running a section...

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Glossary of algebraic topology

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homotopy groups and homology groups. infinite loop space infinite loop space machine Infinite loop space machine. infinite mapping telescope intersection intersection...

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Stack overflow

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stack overflow is excessively deep or infinite recursion, in which a function calls itself so many times that the space needed to store the variables and...

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Turing machine

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Turing machine to go into an infinite loop which will never halt. The Turing machine was invented in 1936 by Alan Turing, who called it an "a-machine" (automatic...

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Space hierarchy theorem

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machine rejects by entering an infinite (space-constrained) loop. Simply counting the number of steps taken would increase space consumption by about f ( n...

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List of films featuring time loops

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This list of films featuring time loops in which characters experience the same period of time which is repeatedly resetting: when a certain condition...

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Loop quantum gravity

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of quantum space. Research has evolved in two directions: the more traditional canonical loop quantum gravity, and the newer covariant loop quantum gravity...

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Loop variant

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In computer science, a loop variant is a mathematical function defined on the state space of a computer program whose value is monotonically decreased...

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Ensemble learning

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statistical ensemble in statistical mechanics, which is usually infinite, a machine learning ensemble consists of only a concrete finite set of alternative...

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DSPACE

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complexity theory, DSPACE or SPACE is the computational resource describing the resource of memory space for a deterministic Turing machine. It represents the total...

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Robert Wayne Thomason

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on algebraic K-theory. His results include a proof that all infinite loop space machines are in some sense equivalent, and progress on the Quillen–Lichtenbaum...

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Cosmological argument

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cosmological argument is an example of a positive infinite regress argument. An infinite regress is an infinite series of entities governed by a recursive principle...

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Mellon Collie and the Infinite Sadness

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Mellon Collie and the Infinite Sadness is the third studio album and first double album by the American alternative rock band the Smashing Pumpkins, released...

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Busy beaver

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most output possible. Since an endlessly looping program producing infinite output or running for infinite time is easily conceived, such programs are...

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Halting problem

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cannot be correct. Some infinite loops can be quite useful. For instance, event loops are typically coded as infinite loops. However, most subroutines...

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Bare machine

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software can vary in structure, but the simplest form may consist of an infinite main loop, calling subroutines responsible for checking for inputs, performing...

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Lazy evaluation

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evaluation has the advantage of being able to create calculable infinite lists without infinite loops or size matters interfering in computation. The actual values...

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Kernel method

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machines is infinite dimensional but only requires a finite dimensional matrix from user-input according to the Representer theorem. Kernel machines are...

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Temporal paradox

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individually as "causal loops." The term "time loop" is sometimes referred to as a causal loop, but although they appear similar, causal loops are unchanging and...

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Automata theory

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communities. The earlier concept of Turing machine was also included in the discipline along with new forms of infinite-state automata, such as pushdown automata...

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Renormalization

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This integral is divergent and infinite, unless we cut it off at finite energy and momentum in some way. Similar loop divergences occur in other quantum...

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