| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4657581 | Topology | 2009 | 4 Pages |
Abstract
A map f:X→Yf:X→Y between topological spaces is called scatteredly continuous if for each non-empty subspace A⊂XA⊂X the restriction f|Af|A has a point of continuity. By SC(X)SC(X) we denote the set of all scatteredly continuous maps from XX to the space of real numbers RR. We consider the following problem: What conditions must satisfy space XX so that SC(X)=RXSC(X)=RX?
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Bogdan Bokalo, Nadiya Kolos,