opologist,s Sine Curve
المؤلف:
Joshi, K. D
المصدر:
Introduction to General Topology. New Delhi, India: Wiley
الجزء والصفحة:
...
29-7-2021
1731
opologist's Sine Curve
An example of a subspace of the Euclidean plane that is connected but not pathwise-connected with respect to the relative topology. It is formed by the ray 
, 
and the graph of the function 
for 
. This set contains no path connecting the origin with any point on the graph.
REFERENCES:
Joshi, K. D. Introduction to General Topology. New Delhi, India: Wiley, pp. 151-153, 1983.
Willard, S. General Topology. Reading, MA: Addison-Wesley, p. 198, 1970.
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