نتایج جستجو برای: local connectedness
تعداد نتایج: 536449 فیلتر نتایج به سال:
This paper expands the role of the new field of computational topology by surveying methods for incorporating connectedness in shape modeling. Two geometric representations in particular, recurrent models and implicit surfaces, can (often unpredictably) become connected or disconnected based on typical changes in modeling parameters. Two methodologies for controlling connectedness are identifie...
Kock, A. and I. Moerdijk, Every &endue comes from a local equivalence relation, Journal of Pure and Applied Algebra 82 (1992) 155-174. We first prove that, under suitable connectedness assumptions, the equivariant sheaves for a local equivalence relation on a space (or a locale) form an &endue topos. Our main result is that conversely, every &endue can be obtained in this way.
The tricorn is the connectedness locus in the space of antiholomorphic quadratic polynomials z 7! z2 + c. We prove that the tricorn is not locally connected and not even pathwise connected, confirming an observation of John Milnor from 1992. We extend this discussion more generally for antiholomorphic unicritical polynomials of degrees d 2 and their connectedness loci, known as multicorns.
Let $X$ be a non-collapsing Ricci limit space and let $x\in X$. We show that for any $\epsilon>0$, there is $r>0$ such every loop in $B_t(x)$ contractible $B_{(1+\epsilon)t}(x)$, where $t\in(0,r]$. In particular, semi-locally simply connected.
OBJECTIVE We examined narrative discourse in amyotrophic lateral sclerosis (ALS) to assess the role of executive functioning in support of language and the neuroanatomical basis for such support. METHODS We analyzed a semistructured speech sample in 26 patients with ALS and 19 healthy seniors for narrative discourse features of coherence. Regression analyses related a measure of discourse coh...
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