- is homeomorphic. One of the
first widely recognized metrization theorems was Urysohn's
metrization theorem. This
states that
every Hausdorff second-countable...
- In topology, the Nagata–Smirnov
metrization theorem characterizes when a
topological space is metrizable. The
theorem states that a
topological space...
- the Bing-Nagata-Smirnov
metrization theorem. It is a
common tool to
prove other metrization theorems, e.g. the
Moore metrization theorem – a collectionwise...
- The
metre (or
meter in US spelling; symbol: m) is the base unit of
length in the
International System of
Units (SI).
Since 2019, the
metre has been defined...
-
intermediate in
strength between paracompactness and normality, and
occurs in
metrization theorems. A
collectionwise normal space is
collectionwise Hausdorff....
-
Ministry of Education. In 1935,
Barbilian published his
article describing metrization of a
region K, the
interior of a
simple closed curve J. Let xy denote...
- 500
metres up to two
miles (3,218.688
metres). The
standard middle distances are the 800
metres, 1500
metres and mile run,
although the 3000
metres may...
- with a
countable basis, one
implication of Bing's
metrization theorem holds. In fact, Bing's
metrization theorem is
almost a
corollary of the Nagata-Smirnov...
- The
official world records in the 5000
metres, or 5000-
metre run, are held by
Joshua Cheptegei with 12:35.36 for men and
Gudaf Tse**** with 14:00.21 for...
-
Olympic events for both men and
women are the 400-
metre (4 × 100-
metre) and 1,600-
metre (4 × 400-
metre) relays. Some non-Olympic
relays are held at distances...