We introduce and investigate statistical convergence in topological and uniform spaces and show how this convergence can be applied to selection principles theory, function spaces and hyperspaces.

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Introduction Alpha1-blockers (AB) are the first-line monotherapy for lower urinary tract symptoms (LUTS). Phosphodiesterase type 5 (PDE5) inhibitors are the first-line treatment for erectile dysfunction (ED). Numerous studies have supposed a significant association between ED and LUTS, but a causal relationship cannot be established. Aim The aim was to evaluate the efficacy of a combined therapy with an AB (alfuzosin) and PDE5 inhibitors (tadalafil) in patients with LUTS and ED. Methods This was a randomized, open-label, three-arm study. A total of 66 men complaining of ED and LUTS were included in the study. Patients were assessed at baseline and after 12 weeks of study treatment, and then underwent randomized allocation to either alfuzosin 10 mg once a day (22 patients) or tadalafil 20 mg on alternative days (21 patients), or a combination of both (23 patients). Main Outcome Measures All participants completed the erectile function domain of the International Index of Erectile Function (IIEF-EF) and the International Prostatic Symptom Score (IPSS). Other efficacy variables included maximum urinary flow rate (Qmax) and medium urinary flow rate (Qave). Results IIEF-EF tended to improve with alfuzosin alone (+15%), while it was clearly improved with tadalafil alone (+36.3%). The greatest improvement was experienced with the combination therapy (+37.6%). Improvement in Qmax was observed in all groups, but patients receiving combination therapy had greater improvement (29.6%) than patients receiving either only alfuzosin (21.7%) or only tadalafil (9.5%). IPSS was significantly improved in alfuzosin group (27.2%), was more marked with the combination therapy (41.6%), and a small increase, although not significant, was also observed with tadalafil (8.4%). Conclusions Combined therapy improved ED and LUTS as demonstrated by the significant improvement in uroflowmetry measures and in IPSS and IIEF-EF scores. A significant improvement was also observed in quality of life assessments. The beneficial effects of tadalafil on LUTS similar to the benefits of alfuzosin on ED, although present, were smaller.

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Introduction Physical activity (PhA) has proven to be a protective factor for normal erectile function in numerous epidemiological studies. Aim The aim of this study was to establish if PhA could have a therapeutic role in the treatment of erectile dysfunction (ED). Methods This was a randomized, open-label study. A total of 60 patients complaining of ED were studied. Patients were assessed at baseline and after 3 months of study treatment. At baseline, patients were randomized to receive phosphodiesterase type 5 inhibitor (PDE5i) alone (group A) or PDE5i plus regular (≥3 hours/week), aerobic, non-agonistic PhA (group B). Main Outcome Measures All subjects completed the International Index of Erectile Function (IIEF-15) questionnaire and performed total testosterone (TT). Results Mean PhA was 3.4 hours/week in group B vs. 0.43 in group A; mean energy expenditure in group B was 1,868 kcal/ week or 22.8 metabolic equivalent (MET)/week. IIEF restoration of ED occurred in 77.8% (intervention group) vs. 39.3% (control) (P <0.004). The IIEF-15 score resulted in statistical improvement in intervention group in all the domains but one (orgasm): erectile function 24.7 vs. 26.8 (P = 0.003); confidence (Q15) 3.53 vs. 4.07 (P = 0.006); sexual desire 6.46 vs. 7.18 (P = 0.028); intercourse satisfaction 9.85 vs. 11.25 (P = 0.001); total satisfaction 7.17 vs. 8.07 (P = 0.009); total score 56.2 vs. 61.07 (P = 0.007). TT was statistically similar in the two groups; separate analysis in each group showed statistical increase in group B 4.24 vs. 4.55 (P = 0.012). At multivariate logistic regression analysis, PhA was the only independent variable for normal erection (P = 0.010) (95% confidence interval [CI] 0.036–0.643), higher sexual satisfaction (P = 0.022) (95% CI 0.084–0.821) and normal total IIEF-15 score (P = 0.023) (95% CI 0.85–0.837). Conclusion In this randomized controlled pilot study, PDE5i plus PhA was more effective than PDE5i alone in the treatment of ED.