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About Pre-Lindelöf Mappings
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A space can be regarded as a special case of a mapping by identifying the given space with its mapping to a point. This viewpoint leads to the idea of extending to mappings the notions and results established for spaces, which makes it possible to generalize certain results. In this paper, pre-Lindelöf mappings are introduced and studied. In particular, it is shown that if the mapping is pre-Lindelöf, then pre-Lindelöf property converse both to direction of image and to one of preimage.
Sociedade Paranaense de Matemática
Title: About Pre-Lindelöf Mappings
Description:
A space can be regarded as a special case of a mapping by identifying the given space with its mapping to a point.
This viewpoint leads to the idea of extending to mappings the notions and results established for spaces, which makes it possible to generalize certain results.
In this paper, pre-Lindelöf mappings are introduced and studied.
In particular, it is shown that if the mapping is pre-Lindelöf, then pre-Lindelöf property converse both to direction of image and to one of preimage.
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