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Journal of Wind Engineering & Industrial Aerodynamics, ISSN 0167-6105, 03/2018, Volume 174, pp. 10 - 27
Given the difficulties associated with undertaking full-scale measurements in tornadoes, recourse is often made to models... 
Burgers-Rott vortex | Rankine vortex | Baker vortex | Sullivan vortex | Analytical vortex models | Laboratory simulated tornado vortex | VORTICES | PRESSURE | ENGINEERING, CIVIL | MECHANICS | WIND-FIELD | DYNAMICS | LARGE-EDDY SIMULATIONS | SWIRL RATIO | DOPPLER RADAR | Benchmarks | Models | Storms | Analysis
Journal Article
Publicacions matemàtiques, ISSN 0214-1493, 2019, Volume 63, Issue 1, pp. 125 - 154
We prove the existence of Sullivan minimal models of operad algebras for a quite wide family of operads in the category of complexes of vector spaces over a field of characteristic zero... 
Operad algebras | Minimal models | Rational homotopy | DIAGRAMS | MATHEMATICS | rational homotopy | operad algebras | Algebra | 55 Algebraic topology | Àlgebra | 18D Categories with structure | Matemàtiques i estadística | Classificació AMS | 55P Homotopy theory | Àrees temàtiques de la UPC | 18 Category theory; homological algebra
Journal Article
Advances in Mathematics, ISSN 0001-8708, 03/2013, Volume 235, pp. 296 - 320
We set up a formalism of Maurer–Cartan moduli sets for L∞ algebras and associated twistings based on the closed model category structure on formal differential graded algebras (a.k.a... 
Maurer–Cartan element | Differential graded algebra | Sullivan model | Chevalley–Eilenberg cohomology | Closed model category | Chevalley-Eilenberg cohomology | Maurer-Cartan element | MATHEMATICS | ALGEBRAS | CYCLIC HOMOLOGY | SECTIONS | RATIONAL HOMOTOPY | Analysis | Algebra
Journal Article
Algebraic and Geometric Topology, ISSN 1472-2747, 03/2013, Volume 13, Issue 1, pp. 577 - 588
.... Together with other evidence we present, this exhibits the Lawrence-Sullivan construction as the right model... 
MATHEMATICS | COMPONENTS
Journal Article
Annales de l'Institut Fourier, ISSN 0373-0956, 2017, Volume 67, Issue 6, pp. 2533 - 2546
Journal Article
Dissertationes Mathematicae, ISSN 0012-3862, 2018, Volume 531, Issue 531, pp. 1 - 71
We report on Koszul-Tate resolutions in algebra, mathematical physics, cohomological analysis of PDEs, and homotopy theory. Further, we define an abstract... 
Jet bundle | Gauge theory | Homotopy theory | Model category | D-module | Koszul-Tate resolution | Compatibility complex | Partial differential equation | Relative Sullivan algebra | homotopy theory | MATHEMATICS | COHOMOLOGY | compatibility complex | relative Sullivan algebra | gauge theory | partial differential equation | jet bundle | model category
Journal Article
Canadian journal of mathematics, ISSN 0008-414X, 04/2018, Volume 70, Issue 2, pp. 265 - 293
.... We construct an algebraic model of the rational homotopy type of $W\text{ }\!\!\backslash\!\!\text{ K}$ out of a model of the map of pairs... 
Lefschetz duality | Sullivan model | Configuration space | MATHEMATICS | configuration space | CONFIGURATION-SPACES
Journal Article
Topology and its Applications, ISSN 0166-8641, 12/2015, Volume 196, pp. 290 - 307
...) for a non-formal elliptic space X of rank 3 and an odd-integer n. Second, we compute the Sullivan minimal models of Baut1X when X are certain non-formal pure spaces... 
Rational homotopy theory | Two stage space | Elliptic space | Sullivan (minimal) model | [formula omitted]-space | Pure space | Derivation | Coformal | Formal | Classifying space for fibration | space | MATHEMATICS, APPLIED | HOMOTOPY LIE-ALGEBRA | FIBRATIONS | F-0-space | MATHEMATICS
Journal Article
Algebraic and Geometric Topology, ISSN 1472-2747, 2008, Volume 8, Issue 2, pp. 1191 - 1222
.... In this paper we construct a commutative differential graded algebra which is a potential candidate for a model of the rational homotopy type of F(M, k... 
Lefschetz duality | Poincaré duality | Configuration spaces | Sullivan model | MATHEMATICS | COHOMOLOGY
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 10/2009, Volume 361, Issue 10, pp. 5601 - 5614
We give an explicit Lie model for any component of the space of free and pointed sections of a nilpotent fibration, and in particular, of the free and pointed mapping spaces... 
Morphisms | Algebra | Mathematical theorems | Homotopy theory | Maps | Functors | Mathematical models | Vector space models | Vector spaces | Rational homotopy theory | Space of sections | Mapping space | Sullivan model | Quillen model | SPACE | MATHEMATICS | mapping space | RATIONAL HOMOTOPY-THEORY | rational homotopy theory
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 3/2008, Volume 258, Issue 3, pp. 521 - 555
.... The key device for the study is an explicit Sullivan model for the connected component containing f of the function space of maps from U to X, which is derived from the general theory of such a model... 
Evaluation subgroup | Gottlieb group | Sullivan model | 55P62 | Mathematics, general | Mathematics | Whitehead product | 55Q70 | MATHEMATICS | CATEGORY | H-SPACES | SEQUENCE | MINIMAL MODELS | HOMOGENEOUS SPACES | HOMOTOPY | HOMOLOGY | evaluation subgroup
Journal Article
Memoirs of the American Mathematical Society, ISSN 0065-9266, 07/2018, Volume 254, Issue 1214, pp. 1 - 108
Journal Article
Communications of the Korean Mathematical Society, ISSN 1225-1763, 2019, Volume 34, Issue 1, pp. 279 - 286
Journal Article
Algebraic & geometric topology, ISSN 1472-2739, 2005, Volume 5, Issue 1, pp. 135 - 182
.... This homotopy push-out square is an example of what is called a Poincare embedding. We study how to construct algebraic models, in particular in the sense of Sullivan, of that homotopy push-out from a model of the map f... 
MATHEMATICS | Lefschetz duality | Poincare embeddings | HOMOTOPY | Sullivan models
Journal Article
Georgian Mathematical Journal, ISSN 1072-947X, 03/2006, Volume 13, Issue 1, pp. 127 - 141
... from 𝑈 to 𝑋. In this paper, an algebraic model for the evaluation map 𝐹(𝑈,𝑋) × 𝑈 → 𝑋... 
Evaluation maps | Sullivan models | function spaces
Journal Article
Journal Article
Journal of Homotopy and Related Structures, ISSN 2193-8407, 6/2016, Volume 11, Issue 2, pp. 153 - 172
... only on the rational homotopy class of the map. We give a commutative differential graded algebra model... 
Minimal model | Algebraic Topology | Commutative differential graded algebra | 55P62 | Mathematics | Leray spectral sequence | Formal space and map | 55N30 | Algebra | Functional Analysis | 55R20 | Sullivan model | 55M05 | Number Theory | 55U25 | MATHEMATICS | CONFIGURATION-SPACES | MODELS
Journal Article
Topology and its Applications, ISSN 0166-8641, 2012, Volume 159, Issue 3, pp. 721 - 732
... is a Lie model for a based map between a finite simply connected complex and a nilpotent complex of finite type over Q , then the above L... 
[formula omitted]-algebra | Rational homotopy theory | Mapping space | Sullivan model | Quillen model | Secondary | Primary | algebra
Journal Article
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