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## Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces

#### Muhammad QASİM [1] , Bin PANG [2]

In previous papers, several $T_{0}$ and Hausdorff objects in topological categories are introduced and compared. The main objectives of this paper are to characterize $\overline{T_{0}}$, $T_{0}$, $T_{1}$ and pre-$\overline{T_{2}}$ objects in the category of quantale-valued closure space as well as to examine their mutual relationship.
$\mathcal{V}$-closure space, $\mathcal{V}$-topological space, topological category, separation, Hausdorff objects
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Primary Language en Mathematics Mathematics Orcid: 0000-0001-9485-8072Author: Muhammad QASİMInstitution: National University of Sciences and Technology (NUST)Country: Pakistan Orcid: 0000-0001-5092-8278Author: Bin PANG (Primary Author)Institution: Beijing Institute of TechnologyCountry: China Publication Date : June 7, 2021
 Bibtex @research article { hujms740593, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2021}, volume = {50}, pages = {612 - 623}, doi = {10.15672/hujms.740593}, title = {Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces}, key = {cite}, author = {Qasim, Muhammad and Pang, Bin} } APA Qasim, M , Pang, B . (2021). Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces . Hacettepe Journal of Mathematics and Statistics , 50 (3) , 612-623 . DOI: 10.15672/hujms.740593 MLA Qasim, M , Pang, B . "Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces" . Hacettepe Journal of Mathematics and Statistics 50 (2021 ): 612-623 Chicago Qasim, M , Pang, B . "Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces". Hacettepe Journal of Mathematics and Statistics 50 (2021 ): 612-623 RIS TY - JOUR T1 - Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces AU - Muhammad Qasim , Bin Pang Y1 - 2021 PY - 2021 N1 - doi: 10.15672/hujms.740593 DO - 10.15672/hujms.740593 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 612 EP - 623 VL - 50 IS - 3 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.740593 UR - https://doi.org/10.15672/hujms.740593 Y2 - 2020 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces %A Muhammad Qasim , Bin Pang %T Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces %D 2021 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 50 %N 3 %R doi: 10.15672/hujms.740593 %U 10.15672/hujms.740593 ISNAD Qasim, Muhammad , Pang, Bin . "Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces". Hacettepe Journal of Mathematics and Statistics 50 / 3 (June 2021): 612-623 . https://doi.org/10.15672/hujms.740593 AMA Qasim M , Pang B . Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces. Hacettepe Journal of Mathematics and Statistics. 2021; 50(3): 612-623. Vancouver Qasim M , Pang B . Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces. Hacettepe Journal of Mathematics and Statistics. 2021; 50(3): 612-623. IEEE M. Qasim and B. Pang , "Pre-Hausdorff and Hausdorff objects in the category of quantale-valued closure spaces", Hacettepe Journal of Mathematics and Statistics, vol. 50, no. 3, pp. 612-623, Jun. 2021, doi:10.15672/hujms.740593

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