4 citations · 8 across the 5 of their papers we have counts for
6 papers
Filling metric spaces
Yevgeny Liokumovich, Boris Lishak, Alexander Nabutovsky +1
We prove a new version of isoperimetric inequality: Given a positive real , a Banach space , a closed subset of metric space and a continuous map …
Sizes of spaces of triangulations of 4-manifolds and balanced presentations of the trivial group
Boris Lishak, Alexander Nabutovsky
Let be any compact four-dimensional PL-manifold with or without boundary (e.g. the four-dimensional sphere or ball). Consider the space of all simplicial isomorphism cla…
Automorphisms of the Baumslag-Gersten group
Boris Lishak
We classify homomorphisms of the Baumslag-Gersten group into itself. We prove it is Hopfian and co-Hopfian. We show that the group of outer automorphisms of the Baumslag-Gersten gr…
Complexity of Unknotting of Trivial 2-knots
Boris Lishak, Alexander Nabutovsky
We construct families of trivial -knots in such that the maximal complexity of -knots in any isotopy connecting with the standard unknot grows fast…
Balanced presentations of the trivial group and four-dimensional geometry
Boris Lishak, Alexander Nabutovsky
We prove that 1) There exist infinitely many non-trivial codimension one "thick" knots in ; 2) For each closed four-dimensional smooth manifold and for each suffi…
Balanced finite presentations of the trivial group
Boris Lishak
We construct a sequence of balanced finite presentations of the trivial group with two generators and two relators with the following property: The minimal number of relations requ…