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=48349
Pseudo-open mapping. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Pseudo-open_mapping&oldid=48349
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article