Pseudo-open mapping
From Encyclopedia of Mathematics
A continuous mapping such that for every point and any neighbourhood of the set in it is always true that (here is the set of all interior points of with respect to ).
Comments
It is also called a hereditarily quotient mapping, because a mapping is pseudo-open if and only if for every the corestriction is a quotient mapping.
References
[a1] | R. Engelking, "General topology" , Heldermann (1989) |
How to Cite This Entry:
Pseudo-open mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Pseudo-open_mapping&oldid=16353
Pseudo-open mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Pseudo-open_mapping&oldid=16353
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article