Structural homotopy theory: a category-theoretic study

Search results

• 2018

  Infinitary addition, real numbers, and taut monads

  Janelidze, G. & Street, R., Oct 2018, In: Applied Categorical Structures. 26, 5, p. 1047-1064 18 p.

  Research output: Contribution to journal › Article › peer-review

  • Monoid 100%
  • Real Number 100%
  • Additional Condition 50%

• Operadic structures and their skew monoidal categories of collections

  Lack, S., Nov 2018, In: Higher Structures. 2, 1, p. 1-29 29 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Finite Set 100%
  • Monoid 100%
  • Usual Sense 100%

  70 Downloads (Pure)

• 2016

  Algebraic weak factorisation systems I: accessible AWFS

  Bourke, J. & Garner, R., 1 Jan 2016, In: Journal of Pure and Applied Algebra. 220, 1, p. 108-147 40 p.

  Research output: Contribution to journal › Article › peer-review

  • Factorization 100%
  • Morphism 11%

  46   Link opens in a new tab Citations (Scopus)

• Algebraic weak factorisation systems II: categories of weak maps

  Bourke, J. & Garner, R., 1 Jan 2016, In: Journal of Pure and Applied Algebra. 220, 1, p. 148-174 27 p.

  Research output: Contribution to journal › Article › peer-review

  • Factorization 100%
  • Fibration 28%
  • Functor 14%
  • Homotopy Category 14%
  • Adjoint 14%

  15   Link opens in a new tab Citations (Scopus)

• Commutativity

  Garner, R. & López Franco, I., May 2016, In: Journal of Pure and Applied Algebra. 220, 5, p. 1707-1751 45 p.

  Research output: Contribution to journal › Article › peer-review

  • Tensor 100%
  • Commutativity 100%
  • Tensor Product 100%
  • Category Theory 25%
  • Samuel Eilenberg 25%

  19   Link opens in a new tab Citations (Scopus)

• Enriched categories as a free cocompletion

  Garner, R. & Shulman, M., 5 Feb 2016, In: Advances in Mathematics. 289, p. 1-94 94 p.

  Research output: Contribution to journal › Article › peer-review

  • Functor 100%
  • Universal Property 50%
  • Classical Theory 50%

  24   Link opens in a new tab Citations (Scopus)

• Generalizations of the Sweedler dual

  Porst, H. E. & Street, R., 1 Oct 2016, In: Applied Categorical Structures. 24, 5, p. 619-647 29 p.

  Research output: Contribution to journal › Article › peer-review

  • Left Adjoint 100%
  • Functor 75%
  • Hopf Algebras 75%
  • Dual Algebra 75%
  • Adjoint 25%

  14   Link opens in a new tab Citations (Scopus)

• Homotopy locally presentable enriched categories

  Lack, S. & Rosický, J., 2 Aug 2016, In: Theory and Applications of Categories. 31, p. 712-754 43 p., 25.

  Research output: Contribution to journal › Article › peer-review

  • Homotopy 100%
  • Main Result 33%
  • Homotopy Theory 33%
  • Model Category 33%

  1   Link opens in a new tab Citation (Scopus)

• Hopf comonads on naturally Frobenius map-monoidales

  Böhm, G. & Lack, S., 1 Jun 2016, In: Journal of Pure and Applied Algebra. 220, 6, p. 2177-2213 37 p.

  Research output: Contribution to journal › Article › peer-review

  • Hopf Algebras 100%
  • Groupoid 50%
  • Functor 50%
  • Idempotent 50%
  • Monoid 50%

  10   Link opens in a new tab Citations (Scopus)

• Semi-localizations of semi-abelian categories

  Gran, M. & Lack, S., 15 May 2016, In: Journal of Algebra. 454, p. 206-232 27 p.

  Research output: Contribution to journal › Article › peer-review

  • Abelian Category 100%
  • Cross Modulation 33%
  • Commutative Ring 33%
  • Left Semi 33%
  • Reflective Subcategory 33%

  5   Link opens in a new tab Citations (Scopus)

• Weighted tensor products of joyal species, graphs, and charades

  Street, R., 17 Jan 2016, In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 12, p. 1-20 20 p., 005.

  Research output: Contribution to journal › Article › peer-review

  • Tensor 100%
  • Semigroup 50%
  • Monoid 50%

  3   Link opens in a new tab Citations (Scopus)

• When coproducts are biproducts

  Garner, R. & Schäppi, D., 1 Jul 2016, In: Mathematical Proceedings of the Cambridge Philosophical Society. 161, 1, p. 47-51 5 p.

  Research output: Contribution to journal › Article › peer-review

  • Coproduct 100%
  • Biproduct 100%

  2   Link opens in a new tab Citations (Scopus)

• 2015

  Combinatorial categorical equivalences of Dold-Kan type

  Lack, S. & Street, R., Oct 2015, In: Journal of Pure and Applied Algebra. 219, 10, p. 4343-4367 25 p.

  Research output: Contribution to journal › Article › peer-review

  • Functor 100%
  • Categorical Equivalence 100%
  • Finite Set 50%
  • Idempotent 50%
  • Direct Sum 50%

  8   Link opens in a new tab Citations (Scopus)

• Completeness results for quasi-categories of algebras, homotopy limits, and related general constructions

  Riehl, E. & Verity, D., 2015, In: Homology, Homotopy and Applications. 17, 1, p. 1-33 33 p.

  Research output: Contribution to journal › Article › peer-review

  • Functor 100%
  • Homotopy 100%
  • Forgetful Functor 20%
  • Projective 20%
  • Quasi-Base 20%

  11   Link opens in a new tab Citations (Scopus)

• Multiplier bialgebras in braided monoidal categories

  Böhm, G. & Lack, S., 1 Feb 2015, In: Journal of Algebra. 423, p. 853-889 37 p.

  Research output: Contribution to journal › Article › peer-review

  • Functor 100%

  5   Link opens in a new tab Citations (Scopus)

• Skew-monoidal reflection and lifting theorems

  Lack, S. & Street, R., 7 Jul 2015, In: Theory and Applications of Categories. 30, p. 985-1000 16 p., 28.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  File

  • Samuel Eilenberg 100%
  • Reflection Theorem 100%

  7   Link opens in a new tab Citations (Scopus)

  60 Downloads (Pure)

• The Catalan simplicial set

  Buckley, M., Garner, R., Lack, S. & Street, R., 11 Mar 2015, In: Mathematical Proceedings of the Cambridge Philosophical Society. 158, 2, p. 211-222 12 p.

  Research output: Contribution to journal › Article › peer-review

  • Simplicial Set 100%
  • Algebraic Topology 33%
  • Category Theory 33%
  • Combinatorics 33%
  • Cardinality 33%

  15   Link opens in a new tab Citations (Scopus)

• The Isbell monad

  Garner, R., 9 Apr 2015, In: Advances in Mathematics. 274, p. 516-537 22 p.

  Research output: Contribution to journal › Article › peer-review

  • Factorization 100%
  • Differential Geometry 50%
  • Category Theory 50%
  • Presheaf 50%
  • Contravariant 50%

  3   Link opens in a new tab Citations (Scopus)