Dynamics and structure of groups of homeomorphisms of scattered spaces

2021 ◽  
Vol 67 (1) ◽  
pp. 161-186
Author(s):  
Maxime Gheysens
Keyword(s):  
Scattered Spaces

scholarly journals VARIETIES OF ABELIAN TOPOLOGICAL GROUPS AND SCATTERED SPACES

2008 ◽  
Vol 78 (3) ◽  
pp. 487-495 ◽  
Author(s):  
CAROLYN E. MCPHAIL ◽  
SIDNEY A. MORRIS
Keyword(s):  
Topological Group ◽  
Compact Hausdorff Space ◽  
Hausdorff Space ◽  
Topological Groups ◽  
Abelian Topological Group ◽  
Free Abelian Topological Group ◽  
Scattered Spaces

AbstractThe variety of topological groups generated by the class of all abelian kω-groups has been shown to equal the variety of topological groups generated by the free abelian topological group on [0, 1]. In this paper it is proved that the free abelian topological group on a compact Hausdorff space X generates the same variety if and only if X is not scattered.

scholarly journals Σ-products of paracompact C-scattered spaces

2002 ◽  
Vol 124 (1) ◽  
pp. 39-46 ◽  
Author(s):  
Hidenori Tanaka ◽  
Yukinobu Yajima
Keyword(s):  
Scattered Spaces

Scattered Spaces and the Class Mobi

1989 ◽  
Vol 106 (1) ◽  
pp. 215
Author(s):  
H. R. Bennett ◽  
J. Chaber
Keyword(s):  
Scattered Spaces

scholarly journals On spaces whose nowhere dense subsets are scattered

1998 ◽  
Vol 21 (4) ◽  
pp. 735-740
Author(s):  
Julian Dontchev ◽  
David Rose
Keyword(s):  
Topological Space ◽  
Scattered Spaces

The aim of this paper is to study the class ofN-scattered spaces, i.e. the spaces whose nowhere dense subsets are scattered. The concept was recently used in a decomposition of scatteredness — a topological space(X,τ)is scattered if and only ifXisα-scattered (= itsα-topology is scattered) andN-scattered.

scholarly journals Scattered spaces and the class ${\rm MOBI}$

1989 ◽  
Vol 106 (1) ◽  
pp. 215-215
Author(s):  
H. R. Bennett ◽  
J. Chaber
Keyword(s):  
Scattered Spaces
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