On functions between generalized topological spaces

[EN] This paper investigates generalized topological spaces and functions between such spaces from the perspective of change of generalized topology. In particular, it considers the preservation of generalized connectedness properties by various classes of functions betweengeneralized topological spaces.Bayhan, S.; Kanibir, A.; Reilly, IL. (2013). On functions between generalized topological spaces. Applied General Topology. 14(2):195-203. doi:10.4995/agt.2013.1588.SWORD195203142Bai, S.-Z., & Zuo, Y.-P. (2010). On g-α-irresolute functions. Acta Mathematica Hungarica, 130(4), 382-389. doi:10.1007/s10474-010-0014-xS. G. Crossley and S. K. Hildebrand, Semi-topological properties, Fund. Math. 74 (1972), 233-254.Császár, Á. (2005). Generalized open sets in generalized topologies. Acta Mathematica Hungarica, 106(1-2), 53-66. doi:10.1007/s10474-005-0005-5Császár, Á. (2002). Acta Mathematica Hungarica, 96(4), 351-357. doi:10.1023/a:1019713018007Császár, Á. (2003).  -connected sets. Acta Mathematica Hungarica, 101(4), 273-279. doi:10.1023/b:amhu.0000004939.57085.9eCsászár, Á. (2007). Normal generalized topologies. Acta Mathematica Hungarica, 115(4), 309-313. doi:10.1007/s10474-007-5249-9Császár, Á. (2008). δ- and θ-modifications of generalized topologies. Acta Mathematica Hungarica, 120(3), 275-279. doi:10.1007/s10474-007-7136-9D. B. Gauld, M. Mrsevic, I. L. Reilly and M. K. Vamanamurthy, Continuity properties of functions, Colloquia Math. Soc. Janos Bolyai, 41 (1983), 311-322.Levine, N. (1963). Semi-Open Sets and Semi-Continuity in Topological Spaces. The American Mathematical Monthly, 70(1), 36. doi:10.2307/2312781Mashhour, M. Abd. El-Monsef and S. El-Deeb, On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt 53 (1982), 47-53.Min, W. K. (2009). Almost continuity on generalized topological spaces. Acta Mathematica Hungarica, 125(1-2), 121-125. doi:10.1007/s10474-009-8230-yMin, W. K. (2009). A note on θ(g, g′)-continuity in generalized topological spaces. Acta Mathematica Hungarica, 125(4), 387-393. doi:10.1007/s10474-009-9075-0Min, W. K. (2010). (δ,δ′)-continuity on generalized topological spaces. Acta Mathematica Hungarica, 129(4), 350-356. doi:10.1007/s10474-010-0036-4Mršević, M., Reilly, I. L., & Vamanamurthy, M. K. (1985). On semi-regularization topologies. Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 38(1), 40-54. doi:10.1017/s1446788700022588Reilly, I. L., & Vamanamurthy, M. K. (1985). On α-continuity in topological spaces. Acta Mathematica Hungarica, 45(1-2), 27-32. doi:10.1007/bf01955019Shen, R.-X. (2008). A note on generalized connectedness. Acta Mathematica Hungarica, 122(3), 231-235. doi:10.1007/s10474-008-8009-6N. V. Velicko, H-closed topological spaces, Mat. Sbornik 70 (112) (1966), 98-112

Infected pancreatic necrosis: outcomes and clinical predictors of mortality. A post hoc analysis of the MANCTRA-1 international study

: The identification of high-risk patients in the early stages of infected pancreatic necrosis (IPN) is critical, because it could help the clinicians to adopt more effective management strategies. We conducted a post hoc analysis of the MANCTRA-1 international study to assess the association between clinical risk factors and mortality among adult patients with IPN. Univariable and multivariable logistic regression models were used to identify prognostic factors of mortality. We identified 247 consecutive patients with IPN hospitalised between January 2019 and December 2020. History of uncontrolled arterial hypertension (p = 0.032; 95% CI 1.135-15.882; aOR 4.245), qSOFA (p = 0.005; 95% CI 1.359-5.879; aOR 2.828), renal failure (p = 0.022; 95% CI 1.138-5.442; aOR 2.489), and haemodynamic failure (p = 0.018; 95% CI 1.184-5.978; aOR 2.661), were identified as independent predictors of mortality in IPN patients. Cholangitis (p = 0.003; 95% CI 1.598-9.930; aOR 3.983), abdominal compartment syndrome (p = 0.032; 95% CI 1.090-6.967; aOR 2.735), and gastrointestinal/intra-abdominal bleeding (p = 0.009; 95% CI 1.286-5.712; aOR 2.710) were independently associated with the risk of mortality. Upfront open surgical necrosectomy was strongly associated with the risk of mortality (p < 0.001; 95% CI 1.912-7.442; aOR 3.772), whereas endoscopic drainage of pancreatic necrosis (p = 0.018; 95% CI 0.138-0.834; aOR 0.339) and enteral nutrition (p = 0.003; 95% CI 0.143-0.716; aOR 0.320) were found as protective factors. Organ failure, acute cholangitis, and upfront open surgical necrosectomy were the most significant predictors of mortality. Our study confirmed that, even in a subgroup of particularly ill patients such as those with IPN, upfront open surgery should be avoided as much as possible. Study protocol registered in ClinicalTrials.Gov (I.D. Number NCT04747990)

ON ALMOST COMPACTNESS AND NEAR COMPACTNESS IN L-TOPOLOGICAL SPACES

The present paper studies several compactness and continuity notions based on the quadruple M = (L,≤,⊗,*), where (L,≤), ⊗ and * respectively denote a complete lattice and binary operations on L, satisfying some further axioms, was introduced by Höhle and Sostak.1,2Fuzzy topology, fuzzy compactness, fuzzy continuity

On separation axioms in intuitionistic topological spaces

The purpose of this paper is to investigate several types of separation axioms in intuitionistic topological spaces, developed by Çoker (2000). After giving some characterizations of T1 and T2 separation axioms in intuitionistic topological spaces, we give interrelations between several types of separation axioms and some counterexamples