Surgery on four-manifolds and topological transformation groups

1972 ◽  
pp. 441-453 ◽  
Author(s):  
Julius L. Shaneson
Keyword(s):  
Transformation Groups ◽  
Topological Transformation ◽  
Four Manifolds

scholarly journals Fuzzy Topological Transformation Groups

2009 ◽  
Vol 1 (1) ◽  
Author(s):  
Tazid Ali ◽  
Sampa Das
Keyword(s):  
Transformation Groups ◽  
Topological Transformation

scholarly journals Topological Transformation Groups.

1956 ◽  
Vol 63 (6) ◽  
pp. 439
Author(s):  
F. Haas ◽  
D. Montgomery ◽  
L. Zippin
Keyword(s):  
Transformation Groups ◽  
Topological Transformation

Topological Transformation Groups. I

1940 ◽  
Vol 41 (4) ◽  
pp. 778 ◽  
Author(s):  
Deane Montgomery ◽  
Leo Zippin
Keyword(s):  
Transformation Groups ◽  
Topological Transformation

Discontinuity Conditions on Transformation Groups

1972 ◽  
Vol 15 (3) ◽  
pp. 417-419
Author(s):  
D. V. Thompson
Keyword(s):  
Metric Space ◽  
Transformation Group ◽  
Convergence Condition ◽  
Transformation Groups ◽  
Compact Metric Space ◽  
Topological Transformation ◽  
Discontinuity Conditions ◽  
Group 1

Throughout this paper, (X, T, π) is a topological transformation group [1], L={x∊X:xt=x for some t∊{e}} and 0=X—L is nonempty; standard topological concepts are used as defined in [2].The problem to be considered here has been studied in [3] and [6]. In [3], X is assumed to be a compact metric space, and each t e T satisfies a convergence condition on certain subsets of X. Under these conditions, Kaul proved that if T is equicontinuous on 0, then the group properties of discontinuity, proper discontinuity, and Sperner's condition (see Definition 1) are equivalent.

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