14 citations · 17 across the 7 of their papers we have counts for
7 papers
Reconstruction theorems for semigroups of functions which contain all transpositions of a set and for clones with the same property
Jonah Maissel, Matatyahu Rubin
We prove that if S is a set of functions from a set A to itself, S is closed under composition, and S contains all transpositions of A, then the action of S on Acan be recovered fr…
Isomorphisms between groups of equivariant homeomorphisms of -manifolds with one orbit type
Matatyahu Rubin, Tomasz Rybicki
Given a compact Lie group , a reconstruction theorem for free -manifolds is proved. As a by-product reconstruction results for locally trivial bundles are presented. Next, th…
A classification of CO spaces which are continuous images of compact ordered spaces
Robert Bonnet, Matatyahu Rubin
A compact Hausdorff space X is called a CO space, if every closed subset of X is homeomorphic to an open subset of X. Every successor ordinal with its order topology is a CO space.…
Locally Moving Groups and the Reconstruction Problem for Chains and Circles
Stephen McCleary, Matatyahu Rubin
We prove that complete Boolean algebras can be reconstructed from any locally moving subgroup of their full automorphism group. We use this theorem in order to prove that linear or…
Reconstruction theorem for homeomorphism groups without small sets and non-shrinking functions of a normed space
Vladimir P. Fonf, Matatyahu Rubin
We prove a reconstruction theorem for homeomorphism groups of open sets in metrizable locally convex topological vector spaces. We show that certain small subgroups of the full hom…
Reconstruction of manifolds and subsets of normed spaces from subgroups of their homeomorphism groups
Matatyahu Rubin, Yosef Yomdin
We prove various reconstruction theorems about open subsets of normed spaces. E.g. if the uniformly continuous homeomorphism groups of two such sets are isomorphic, then this isomo…
Extension and reconstruction theorems for the Urysohn universal metric space
Wieslaw Kubiś, Matatyahu Rubin
We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. We also prove reconstruction theorems for certain groups of autohomeomorphisms…