scholarly journals Persistent obstruction theory for a model category of measures with applications to data merging

2021 ◽  
Vol 8 (1) ◽  
pp. 1-38
Author(s):  
Abraham D. Smith ◽  
Paul Bendich ◽  
John Harer
Keyword(s):  
Model Category ◽  
Obstruction Theory ◽  
Data Merging

scholarly journals SYMMETRIC OPERADS IN ABSTRACT SYMMETRIC SPECTRA

2018 ◽  
Vol 18 (4) ◽  
pp. 707-758 ◽  
Author(s):  
Dmitri Pavlov ◽  
Jakob Scholbach
Keyword(s):  
Algebraic Geometry ◽  
Commutative Ring ◽  
Model Category ◽  
Obstruction Theory ◽  
Model Structure ◽  
Simplicial Sets ◽  
Ring Spectra ◽  
Symmetric Spectra ◽  
Derived Algebraic Geometry ◽  
Quillen Equivalent

This paper sets up the foundations for derived algebraic geometry, Goerss–Hopkins obstruction theory, and the construction of commutative ring spectra in the abstract setting of operadic algebras in symmetric spectra in an (essentially) arbitrary model category. We show that one can do derived algebraic geometry a la Toën–Vezzosi in an abstract category of spectra. We also answer in the affirmative a question of Goerss and Hopkins by showing that the obstruction theory for operadic algebras in spectra can be done in the generality of spectra in an (essentially) arbitrary model category. We construct strictly commutative simplicial ring spectra representing a given cohomology theory and illustrate this with a strictly commutative motivic ring spectrum representing higher order products on Deligne cohomology. These results are obtained by first establishing Smith’s stable positive model structure for abstract spectra and then showing that this category of spectra possesses excellent model-theoretic properties: we show that all colored symmetric operads in symmetric spectra valued in a symmetric monoidal model category are admissible, i.e., algebras over such operads carry a model structure. This generalizes the known model structures on commutative ring spectra and $\text{E}_{\infty }$-ring spectra in simplicial sets or motivic spaces. We also show that any weak equivalence of operads in spectra gives rise to a Quillen equivalence of their categories of algebras. For example, this extends the familiar strictification of $\text{E}_{\infty }$-rings to commutative rings in a broad class of spectra, including motivic spectra. We finally show that operadic algebras in Quillen equivalent categories of spectra are again Quillen equivalent. This paper is also available at arXiv:1410.5699v2.

scholarly journals Correction: Hu, Q., et al. Rainfall Spatial Estimations: A Review from Spatial Interpolation to Multi-Source Data Merging. Water 2019, 11, 579

Water ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1936
Author(s):  
Qingfang Hu ◽  
Zhe Li ◽  
Leizhi Wang ◽  
Yong Huang ◽  
Yintang Wang ◽  
...  
Keyword(s):  
Spatial Interpolation ◽  
Data Merging ◽  
Source Data

The authors wish to make the following corrections to this paper [...]

Seismic events discrimination by neuro-fuzzy-based data merging

1998 ◽  
Vol 25 (18) ◽  
pp. 3449-3452 ◽  
Author(s):  
S. Muller ◽  
J. -F. Legrand ◽  
J.-D. Muller ◽  
Y. Cansi ◽  
R. Crusem ◽  
...  
Keyword(s):  
Seismic Events ◽  
Data Merging ◽  
Neuro Fuzzy

scholarly journals The integral cohomology of the Hilbert scheme of points on a surface

2020 ◽  
Vol 8 ◽  
Author(s):  
Burt Totaro
Keyword(s):  
Natural Number ◽  
Hilbert Scheme ◽  
Obstruction Theory ◽  
Projective Surface ◽  
Hilbert Schemes ◽  
Complex Projective Surface ◽  
Smooth Complex ◽  
Hilbert Scheme Of Points ◽  
Complex Projective ◽  
Torsion Free

Abstract We show that if X is a smooth complex projective surface with torsion-free cohomology, then the Hilbert scheme $X^{[n]}$ has torsion-free cohomology for every natural number n. This extends earlier work by Markman on the case of Poisson surfaces. The proof uses Gholampour-Thomas’s reduced obstruction theory for nested Hilbert schemes of surfaces.

scholarly journals A Framework for Visualizing Heterogeneous Construction Data Using Semantic Web Standards

2018 ◽  
Vol 2018 ◽  
pp. 1-11
Author(s):  
Mostafa Ali ◽  
Yasser Mohamed
Keyword(s):  
Ad Hoc ◽  
3D Visualization ◽  
Heterogeneous Data ◽  
Data Merging ◽  
Levels Of Detail ◽  
Heterogeneous Data Sources ◽  
Web Standards ◽  
Visualization Process ◽  
Merging Process ◽  
Different Sources

3D Visualization provides a mean for communicating different construction activities to diverse audiences. The scope, level of detail, and time resolution of the 3D visualization process are determined based on the targeted audiences. Developing the 3D visualization requires obtaining and merging heterogeneous data from different sources (such as BIM model and CPM schedule). The data merging process is usually carried out on ad hoc basis for a specific visualization case which limits the reusability of the process. This paper discusses a framework for automatic merging of heterogeneous data to create a visualization. The paper describes developing an ontology which captures concepts related to the visualization process. Then, heterogeneous data sources that are commonly used in construction are fed into the ontology which can be queried to produce different visualization scenarios. The potential of this approach has been demonstrated by providing multiple visualization scenarios that cover different audiences, levels of detail, and time resolutions.

Sign in / Sign up

Export Citation Format

Share Document