The wf-rank of topological spaces

Li, Qingguo; Liu, Bei; Ho, Weng Kin

doi:10.2298/fil2205507l

Cited by 2 publications

(4 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Two studies evaluating the use of a light trigger during both daytime and nighttime hours to remind PICU (338) or NICU (339) staff when ambient noise levels became excessive demonstrated minor (1-3 dB) reductions in average noise levels but no increase in time spent below recommended noise thresholds. NICU studies aimed to reduce anytime ambient noise via staff education similarly have resulted in minimal or no impact (340,341). A single study in a PICU setting demonstrated significant noise reductions, particularly during evening/nighttime hours, following implementation of a comprehensive delirium bundle, although the bundle components deemed most impactful on noise reduction were not described (303,311).…”

Section: Sleep Hygienementioning

confidence: 99%

2022 Society of Critical Care Medicine Clinical Practice Guidelines on Prevention and Management of Pain, Agitation, Neuromuscular Blockade, and Delirium in Critically Ill Pediatric Patients With Consideration of the ICU Environment and Early Mobility

Smith

Besunder

Betters

et al. 2022

Pediatric Critical Care Medicine

211

212

View full text Add to dashboard Cite

RATIONALE:A guideline that both evaluates current practice and provides recommendations to address sedation, pain, and delirium management with regard for neuromuscular blockade and withdrawal is not currently available. OBJECTIVE:To develop comprehensive clinical practice guidelines for critically ill infants and children, with specific attention to seven domains of care including pain, sedation/agitation, iatrogenic withdrawal, neuromuscular blockade, delirium, PICU environment, and early mobility. DESIGN:The Society of Critical Care Medicine Pediatric Pain, Agitation, Neuromuscular Blockade, and Delirium in critically ill pediatric patients with consideration of the PICU Environment and Early Mobility Guideline Taskforce was comprised of 29 national experts who collaborated from 2009 to 2021 via teleconference and/or e-mail at least monthly for planning, literature review, and guideline development, revision, and approval. The full taskforce gathered annually in-person during the Society of Critical Care Medicine Congress for progress reports and further strategizing with the final face-to-face meeting occurring in February 2020. Throughout this process, the Society of Critical Care Medicine standard operating procedures Manual for Guidelines development was adhered to. METHODS:Taskforce content experts separated into subgroups addressing pain/ analgesia, sedation, tolerance/iatrogenic withdrawal, neuromuscular blockade, delirium, PICU environment (family presence and sleep hygiene), and early mobility. Subgroups created descriptive and actionable Population, Intervention, Comparison, and Outcome questions. An experienced medical information specialist developed search strategies to identify relevant literature between January 1990 and January 2020. Subgroups reviewed literature, determined quality of evidence, and formulated recommendations classified as "strong" with "we recommend" or "conditional" with "we suggest. " Good practice statements were used when indirect evidence supported benefit with no or minimal risk. Evidence gaps were noted. Initial recommendations were reviewed by each subgroup and revised as deemed necessary prior to being disseminated for voting by the full taskforce. Individuals who had an overt or potential conflict of interest abstained from relevant votes. Expert opinion alone was not used in substitution for a lack of evidence. RESULTS:The Pediatric Pain, Agitation, Neuromuscular Blockade, and Delirium in critically ill pediatric patients with consideration of the PICU Environment and Early Mobility taskforce issued 44 recommendations (14 strong and 30 conditional) and five good practice statements.

show abstract

Section: Sleep Hygienementioning

confidence: 99%

2022 Society of Critical Care Medicine Clinical Practice Guidelines on Prevention and Management of Pain, Agitation, Neuromuscular Blockade, and Delirium in Critically Ill Pediatric Patients With Consideration of the ICU Environment and Early Mobility

Smith

Besunder

Betters

et al. 2022

Pediatric Critical Care Medicine

211

212

View full text Add to dashboard Cite

show abstract

“…X is called α d -special (resp., α wf -special), similarly, see [3] and [8], respectively. Remark 4.2 If X is a α k -special space, then α is not a limit ordinal.…”

Section: α K -Special Spacesmentioning

confidence: 97%

“…In [3] and [8], for any ordinal α, there exists a T 0 space whose d-rank (respectively, wf -rank) equals to α. Consider a T 0 space whose k-rank equals to α may be more complex, because we know little about Q k (X).…”

Section: -2mentioning

confidence: 99%

See 1 more Smart Citation

On $k$-ranks of topological spaces

Jin¹,

Li²

2023

Electronic Notes in Theoretical Informatics and Computer Science

View full text Add to dashboard Cite

In this paper, the concepts of $K$-subset systems and $k$-well-filtered spaces are introduced, which provide another uniform approach to $d$-spaces, $s$-well-filtered spaces (i.e., $\mathcal{U}_{S}$-admissibility) and well-filtered spaces. We prove that the $k$-well-filtered reflection of any $T_{0}$ space exists. Meanwhile, we propose the definition of $k$-rank, which is an ordinal that measures how many steps from a $T_{0}$ space to a $k$-well-filtered space. Moreover, we derive that for any ordinal $\alpha$, there exists a $T_{0}$ space whose $k$-rank equals to $\alpha$. One immediate corollary is that for any ordinal $\alpha$, there exists a $T_{0}$ space whose $d$-rank (respectively, $wf$-rank) equals to $\alpha$.

show abstract

The wf-rank of topological spaces

Cited by 2 publications

References 21 publications

2022 Society of Critical Care Medicine Clinical Practice Guidelines on Prevention and Management of Pain, Agitation, Neuromuscular Blockade, and Delirium in Critically Ill Pediatric Patients With Consideration of the ICU Environment and Early Mobility

2022 Society of Critical Care Medicine Clinical Practice Guidelines on Prevention and Management of Pain, Agitation, Neuromuscular Blockade, and Delirium in Critically Ill Pediatric Patients With Consideration of the ICU Environment and Early Mobility

On $k$-ranks of topological spaces

Contact Info

Product

Resources

About