בוריס צ'ורני

Boris Chorny

  • תואר שלישי (.Ph.D) במתמטיקה, האוניברסיטה העברית
תורת ההומוטופיה, אלגברה הומוטופית, חשבון של פונקטורים, תורת הקטגוריות.
  • אלגברה לינארית
  • משוואות דיפרנציאליות 
  • טופולוגיה
  • Ph.D., Mathematics, The Hebrew University of Jerusalem
Homotopy theory, Homotopical Algebra, Calculus of Functors, Category Theory.
  • Linear Algebra
  • Differential Equations
  • Topology
  • Updated Representability theorems, up to homotopy, Preprint, 2019 D Blanc
    Homotopy theory of homotopy presheaves, Preprint, 2018 D White
  • A classification of small linear functors, International Mathematics Research Notices, no. 18, 5493 − 5517, 2016
  • Homotopy theory of relative simplicial presheaves, Israel Journal of Mathematics, 205(1), 471 − 484, 2015
  • A classification of small homotopy functors from spectra to spectra, Fundamenta Mathematicae, 234(2), 101 − 125, 2016
  • Duality and small functors, Algebraic and Geometric Topology, 15 (5), 2609 − 2657, 2015 G Biedermann
  • Goodwilie calculus and Whitehead products, Forum Math, 27(1), no. 1, 119 − 130, 2015 J Scherer
  • Class-combinatorial model categories, Homology, Homotopy and Applications, 14(1), 263 − 280, 2012 J Rosický
  • Class-locally presentable and class-accessible categories, Journal of Pure and Applied Algebra, 216(10), 2113 − 2125, 2012 J Rosický
  • Brown representability for space-valued functors, Israel Journal of Mathematics, 194(2), 767 − 791, 2013
  • Homotopy theory of small functors, Forum Math 21, 167 − 179, 2009 WG Dwyer
  • Abstract cellularization as a cellularization with respect to a set of objects, In Davydov et al., editors, Street Festschrift. Proceedings of the conference on Categories in Algebra, Geometry and Mathematical Physics, vol. 431 of Contemporary Mathematics, pages 165 − 170, AMS, Providence, Rhode Island, 2007
  • Calculus of functors and model categories, Adv in Math 214(1), pages 92 − 115, 2007 G Biedermann, O Röndigs
  • The orthogonal subcategory problem in homotopy theory, In D. Arlettaz and K. Hess, editors, An Alpine Anthology of Homotopy Theory. Proceedings of the Second Arolla conference on Algebraic Topology, vol. 399 of Contemporary Mathematics, pages 41 − 53, AMS, Providence, Rhode Island, 2006 C Casacuberta
  • A generalization of Quillen's small object argument, Journal of Pure and Applied Algebra 204, 568 − 583, 2006
  • Localization with respect to a class of maps. II. Equivariant cellularization and its application, Israel Journal of Math 147, 141 − 155, 2005
  • Localization with respect to a class of maps. I. Equivariant localization of diagrams of spaces, Israel Journal of Math 147, 99 − 140, 2005
  • Equivariant cellular homology and its applications High-dimensional manifold topology, 125 − 138, World Sci. Publishing, River Edge, NJ, 2003
    The model category of maps of spaces is not cofibrantly generated 
    Proc Amer Math Soc 131(7), 2255 − 2259, 2003
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