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Date: 8-5-2021
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Date: 29-7-2021
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Date: 22-9-2016
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A topological space has a one-point compactification if and only if it is locally compact.
To see a part of this, assume is compact,
,
and
. Let
be a compact neighborhood of
(relative to
), not containing
. Then
is also compact relative to
, which shows
is locally compact.
The point is often called the point of infinity.
A one-point compactification opens up for simplifications in definitions and proofs.
The continuous functions on may be of importance. Their restriction to
are loosely the continuous functions on
with a limit at infinity.
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دخلت غرفة فنسيت ماذا تريد من داخلها.. خبير يفسر الحالة
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ثورة طبية.. ابتكار أصغر جهاز لتنظيم ضربات القلب في العالم
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سماحة السيد الصافي يؤكد ضرورة تعريف المجتمعات بأهمية مبادئ أهل البيت (عليهم السلام) في إيجاد حلول للمشاكل الاجتماعية
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