sequentially continuous
Let be topological spaces. Then a is said to be sequentially continuous if for every convergent sequence in , in .
Every continuous function is sequentially continuous, however the converse is true only in first-countable spaces (for example in metric spaces).
Title | sequentially continuous |
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Canonical name | SequentiallyContinuous |
Date of creation | 2013-03-22 16:31:17 |
Last modified on | 2013-03-22 16:31:17 |
Owner | ehremo (15714) |
Last modified by | ehremo (15714) |
Numerical id | 6 |
Author | ehremo (15714) |
Entry type | Definition |
Classification | msc 54C05 |