1 citations · 1 across the 3 of their papers we have counts for
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Yet another delooping machine
Bernard Badzioch, Kuerak Chung, Alexander A. Voronov
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 Stashe…
From -spaces to algebraic theories
Bernard Badzioch
The paper examines machines of the type of the -spaces of Segal which describe homotopy structures on topological spaces. The main result of the paper shows that for any such ma…
Recognition principle for generalized Eilenberg-Mac Lane spaces
Bernard Badzioch
We give a homotopy theoretical characterization of generalized Eilenberg-Mac Lane spaces, modeled after Segal's characterization of infinite loop spaces via Gamma spaces.
Algebraic theories in homotopy theory
Bernard Badzioch
An algebraic theory is a category with objects such that for each the object is an -fold categorical product of . A strict -algebra is a produ…