On the category of ordered pre-topological spaces
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Date
2022
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Mark
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
A pre-topological space equipped with an order is called an ordered pre- topological space. These spaces form the objects of a category which will be de- noted by OVPT. The arrows of this category are certain increasing maps called V -continuous. Essentially, we will prove that the subcategory of ordered pre- topological spaces of type T0, OVPT0, is reflective in OVPT. We introduce and study some new separation axioms and characterize the class of morphisms orthog- onal to the objects of OVPT0.
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Mathematics for Applications. 2022 vol. 11, č. 1, s. 1-11. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/11_1/ma_11_1_abbassi_lazaar_mhemdi_final.pdf
http://ma.fme.vutbr.cz/archiv/11_1/ma_11_1_abbassi_lazaar_mhemdi_final.pdf
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Peer-reviewed
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky