5 citations · 19 across the 8 of their papers we have counts for
9 papers
Bousfield--Kan Completions of Subcontractible Presentations
Andrey Mikhovich
We study Bousfield--Kan completions through the interaction of free simplicial resolutions, their filtration spectral sequences, and a noncommutative arithmetic square. For every f…
Continuous Comparison of Free Simplicial Prounipotent and Pro- Resolutions
Andrey Mikhovich
We give a continuous version of the comparison theorem for free simplicial resolutions in the categories of prounipotent groups over a field of characteristic zero and of pro- g…
Rational and -adic analogs of J.H.C. Whitehead's conjecture
Andrey M. Mikhovich
We show that subpresentations of aspherical prounipotent presentations over fields of zero characteristics and subpresentations of aspherical pro--presentations are aspherical,…
Quasirationality and aspherical (pro-)presentations
Andrey Mikhovich
Quasirational (pro-)presentations are studied. The difference between aspherical and quasirational presentations sheds some light on the Whitehead's conjecture. We confirm expec…
Identity theorem for pro--groups
Andrey Mikhovich
We prove the Identity Theorem for pro--groups with a single defining relation giving a positive feedback to a question of Serre on the structure of relation modules. A construct…
Quasirationality and prounipotent crossed modules
Andrey Mikhovich
Quasirational presentations (-presentations) of (pro-)groups are studied. Such presentations include, in particular, aspherical presentations of discrete groups and their su…