Addendum to "A survey of semigroups of continuous selfmaps" (with intro. by K. D. Magill).
Algebraic Transformation Groups and Representation.
An embedding theorem for semigroups of continuous selfmaps.
An Equivariant Extension Theorem and G-Retracts with a Finite Structure.
Another semigroup characterization of the simple closed curve.
Autohomeomorphism groups of spaces with unique non-isolated point
Automorphism invariants for semigroups.
Caractérisation des opérations d'algèbres sur les modules différentiels
Category theorems concerning Z-density continuous functions
The ℑ-density topology on ℝ is a refinement of the natural topology. It is a category analogue of the density topology [9, 10]. This paper is concerned with ℑ-density continuous functions, i.e., the real functions that are continuous when the ℑ-densitytopology is used on the domain and the range. It is shown that the family of ordinary continuous functions f: [0,1]→ℝ which have at least one point of ℑ-density continuity is a first category subset of C([0,1])= f: [0,1]→ℝ: f is continuous equipped...
Characterizing polyhedrons and manifolds
In [5], W. Taylor shows that each particular compact polyhedron can be characterized in the class of all metrizable spaces containing an arc by means of first order properties of its clone of continuous operations. We will show that such a characterization is possible in the class of compact spaces and in the class of Hausdorff spaces containing an arc. Moreover, our characterization uses only the first order properties of the monoid of self-maps. Also, the possibility of characterizing the closed...
Clan acts and codimension.
Closed ideals in semigroups of continuous selfmaps.
Compact 16-dimensional Projective Planes with Large Collineation Groups. III.
Compact abelian group extensions of dynamical systems II
Compact groups of automorphisms of von Neumann algebras.
Compact Orbit-Decomposition acts.
Compactification and linearization of abstract dynamical systems
Compactifications of ℕ and Polishable subgroups of
We study homeomorphism groups of metrizable compactifications of ℕ. All of those groups can be represented as almost zero-dimensional Polishable subgroups of the group . As a corollary, we show that all Polish groups are continuous homomorphic images of almost zero-dimensional Polishable subgroups of . We prove a sufficient condition for these groups to be one-dimensional and also study their descriptive complexity. In the last section we associate with every Polishable ideal on ℕ a certain Polishable...
Compactifying the space of homeomorphisms
Compactness conditions for semigroups of linear maps.