closed map sentence in Hindi

Examples

1. Open and closed maps are not necessarily continuous.
2. is a closed map, i . e . maps closed sets onto closed sets.
3. Although their definitions seem more natural, open and closed maps are much less important than continuous maps.
4. It shows that the image of a compact space under an open or closed map need not be compact.
5. The composition of two open maps is again open; the composition of two closed maps is again closed.
6. This example shows that the image of a connected space under an open or closed map need not be connected.
7. The categorical product of two open maps is open, however the categorical product of two closed maps need not be closed.
8. Likewise it is called a "'closed subspace "'if the injection \ iota is a closed map.
9. This can be seen as an analogue of compactness in algebraic geometry : a topological space " X " is compact if and only if projection along " X " is a closed map in any product " X " ?" Y ", equipped with product topology.