203 research outputs found
On small homotopies of loops
Two natural questions are answered in the negative:
(1) If a space has the property that small nulhomotopic loops bound small
nulhomotopies, then are loops which are limits of nulhomotopic loops themselves
nulhomotopic?
(2) Can adding arcs to a space cause an essential curve to become
nulhomotopic?
The answer to the first question clarifies the relationship between the
notions of a space being homotopically Hausdorff and -shape injective.Comment: 12 pages, 5 figure
Evaluating Matrix Circuits
The circuit evaluation problem (also known as the compressed word problem)
for finitely generated linear groups is studied. The best upper bound for this
problem is , which is shown by a reduction to polynomial
identity testing. Conversely, the compressed word problem for the linear group
is equivalent to polynomial identity testing. In
the paper, it is shown that the compressed word problem for every finitely
generated nilpotent group is in . Within
the larger class of polycyclic groups we find examples where the compressed
word problem is at least as hard as polynomial identity testing for skew
arithmetic circuits
Equivariant cohomology and analytic descriptions of ring isomorphisms
In this paper we consider a class of connected closed -manifolds with a
non-empty finite fixed point set, each of which is totally non-homologous
to zero in (or -equivariantly formal), where . With the
help of the equivariant index, we give an explicit description of the
equivariant cohomology of such a -manifold in terms of algebra, so that we
can obtain analytic descriptions of ring isomorphisms among equivariant
cohomology rings of such -manifolds, and a necessary and sufficient
condition that the equivariant cohomology rings of such two -manifolds are
isomorphic. This also leads us to analyze how many there are equivariant
cohomology rings up to isomorphism for such -manifolds in 2- and
3-dimensional cases.Comment: 20 pages, updated version with two references adde
Is every toric variety an M-variety?
A complex algebraic variety X defined over the real numbers is called an
M-variety if the sum of its Betti numbers (for homology with closed supports
and coefficients in Z/2) coincides with the corresponding sum for the real part
of X. It has been known for a long time that any nonsingular complete toric
variety is an M-variety. In this paper we consider whether this remains true
for toric varieties that are singular or not complete, and we give a positive
answer when the dimension of X is less than or equal to 3.Comment: 13 page
Recommendations for future research in relation to pediatric pulmonary embolism: communication from the SSC of the ISTH
Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/142464/1/jth13902_am.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/142464/2/jth13902.pd
Apixaban overdose in children: case report and proposed management. A brief communication from the Pediatric and Neonatal Thrombosis and Hemostasis SSC of ISTH
\ua9 2024 The Authors. Background: Direct oral anticoagulants are commonly prescribed for adults and increasingly also for children requiring anticoagulation therapy. While household medications should not be accessible to children, accidental, and intentional overdoses occur. Key Clinical Question: How should apixaban overdose in children be managed?. Clinical Approach: We present a case of an accidental overdose with the factor Xa antagonist apixaban in a young child and propose an approach to the management of cases of apixaban overdose in children. Conclusion: Given the increasing use of direct oral anticoagulants, it is important to have an approach to the management of overdose of these medications
Positive Clinical Neuroscience: Explorations in Positive Neurology
Disorders of the brain and its sensory organs have traditionally been associated with deficits in movement, perception, cognition, emotion, and behavior. It is increasingly evident, however, that positive phenomena may also occur in such conditions, with implications for the individual, science, medicine, and for society. This article provides a selective review of such positive phenomena – enhanced function after brain lesions, better-than-normal performance in people with sensory loss, creativity associated with neurological disease, and enhanced performance associated with aging. We propose that, akin to the well-established field of positive psychology and the emerging field of positive clinical psychology, the nascent fields of positive neurology and positive neuropsychology offer new avenues to understand brain-behavior relationships, with both theoretical and therapeutic implications
Loneliness and the Emotional Experience of Absence
In this paper, we develop an analysis of the structure and content of loneliness. We argue that this is an emotion of absence-an affective state in which certain social goods are regarded as out of reach for the subject of experience. By surveying the range of social goods that appear to be missing from the lonely person's perspective, we see what it is that can make this emotional condition so subjectively awful for those who undergo it, including the profound sense of being unable to realise oneself, in collaboration with others
Évaluation préopératoire de l’hémostase: un nouveau questionnaire simple sur le saignement
Whole exome sequencing identifies genetic variants in inherited thrombocytopenia with secondary qualitative function defects
Inherited thrombocytopenias are a heterogeneous group of disorders characterised
by abnormally low platelet counts which can be associated with abnormal bleeding.
Next generation sequencing has previously been employed in these disorders for the
confirmation of suspected genetic abnormalities, and more recently in the discovery
of novel disease causing genes. However its full potential has not previously been
utilised. Over the past 6 years we have sequenced the exomes from 55 patients,
including 37 index cases and 18 additional family members, all of whom were
recruited to the UK Genotyping and Phenotyping of Platelets study. All patients had
inherited or sustained thrombocytopenia of unknown aetiology with platelet counts
varying from 11-186x109
/L. Of the 51 patients phenotypically tested, 37 (73%), had
an additional secondary qualitative platelet defect. Using whole exome sequencing
analysis we have identified “pathogenic” or “likely pathogenic” variants in 46%
(17/37) of our index patients with thrombocytopenia. In addition, we report variants
of uncertain significance in 12 index cases which include novel candidate genetic
variants in previously unreported genes in four index cases. These results
demonstrate that whole exome sequencing is an efficient method for elucidating
potential pathogenic genetic variants in inherited thrombocytopenia. Whole exome
sequencing also has the added benefit of discovering potentially pathogenic genetic
variants for further study in novel genes not previously implicated in inherited
thrombocytopenia
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