G-Space
المؤلف:
Hsiang, W. Y
المصدر:
Lectures on Lie Groups. Singapore: World Scientifi
الجزء والصفحة:
p. 1
2-8-2021
2005
G-Space
A
-space is a special type of T1-Space. Consider a point
and a homeomorphism of an open neighborhood
of
onto an open set of
. Then a space is a
-space if, for any two such neighborhoods
and
, the images of
under the different homeomorphisms are isometric. If
, the homeomorphisms need only be conformal (but not necessarily orientation-preserving).
Hsiang (2000, p. 1) terms a space
with a topological (respectively, differentiable, linear) transformation of a given group
a topological (respectively, differentiable, linear)
-space.
REFERENCES:
Hsiang, W. Y. Lectures on Lie Groups. Singapore: World Scientific, p. 1, 2000.
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