Title: Yet another delooping machine Authors: Bernard Badzioch, Kuerak Chung, and Alexander A. Voronov Author's e-mail address: voronov@math.umn.edu Authors' mailing address: School of Mathematics, University of Minnesota, Minneapolis, MN 55455 Included ps or eps files: mor.eps AMS classification number: 55P48 (Primary); 18C10 (Secondary) ArXiv submission number: math.AT/0403098 Abstract: We suggest a new delooping machine, which is based on recognizing an n-fold loop space by a collection of operations acting on it, like the traditional delooping machines of Stasheff, May, Boardman-Vogt, Segal, and Bousfield. Unlike in the traditional delooping machines, which carefully select a nice space of such operations, we consider all natural operations on n-fold loop spaces, resulting in the algebraic theory Map (V_. S^n, V_. S^n). The advantage of this new approach is that the delooping machine is universal in a certain sense, the proof of the recognition principle is more conceptual, works the same way for all values of n, and does not need the test space to be connected.