Read More
Date: 14-7-2021
1183
Date: 13-5-2021
1505
Date: 25-6-2017
1266
|
A Cartesian product of any finite or infinite set of copies of , equipped with the product topology derived from the discrete topology of . It is denoted . The name is due to the fact that for , this set is closely related to the Cantor set (which is formed by all numbers of the interval which admit an expansion in base 3 formed by 0s and 2s only), and this gives rise to a one-to-one correspondence between and the Cantor set, which is actually a homeomorphism. In the symbol denoting the Cantor discontinuum, can be replaced by 2 and by .
REFERENCES:
Cullen, H. F. "The Cantor Ternary Space." §18 in Introduction to General Topology. Boston, MA: Heath, pp. 77-81, 1968.
Joshi, K. D. Introduction to General Topology. New Delhi, India: Wiley, p. 199, 1983.
Willard, S. "The Cantor Set." §30 in General Topology. Reading, MA: Addison-Wesley, pp. 216-219, 1970.
|
|
إدارة الغذاء والدواء الأميركية تقرّ عقارا جديدا للألزهايمر
|
|
|
|
|
شراء وقود الطائرات المستدام.. "الدفع" من جيب المسافر
|
|
|
|
|
العتبة العبّاسيّة: البحوث الّتي نوقشت في أسبوع الإمامة استطاعت أن تثري المشهد الثّقافي
|
|
|