Results 11 to 20 of about 142,440 (280)

Topological triangulated categories [PDF]

, 2012
In this paper we explain certain systematic differences between algebraic and topological triangulated categories. A triangulated category is algebraic if it admits a differential graded model, and topological if it admits a model in the form of a stable cofibration category.
Schwede, Stefan
openaire   +4 more sources

The boundary phase transitions of the 2+1D ℤ N topological order via topological Wick rotation

Journal of High Energy Physics, 2023
In this work, we show that a critical point of a 1d self-dual boundary phase transition between two gapped boundaries of the ℤ N topological order can be described by a mathematical structure called an enriched fusion category.
Yalei Lu, Holiverse Yang
doaj   +1 more source

Colimits in the category Seg of Segal topological algebras [PDF]

Proceedings of the Estonian Academy of Sciences, 2022
In this paper we find sufficient conditions for a direct system of Segal topological algebras to have a colimit in the category Seg of Segal topological algebras.
Mart Abel
doaj   +1 more source

Coproducts in the category Seg of Segal topological algebras [PDF]

Proceedings of the Estonian Academy of Sciences, 2021
In this paper we find a sufficient condition for a family of Segal topological algebras to have a coproduct in the category Seg.
Mart Abel
doaj   +1 more source

Topological field theories and symmetry protected topological phases with fusion category symmetries

Journal of High Energy Physics, 2021
Fusion category symmetries are finite symmetries in 1+1 dimensions described by unitary fusion categories. We classify 1+1d time-reversal invariant bosonic symmetry protected topological (SPT) phases with fusion category symmetry by using topological ...
Kansei Inamura
doaj   +1 more source

Coequalizers and pullbacks in the category Seg of Segal topological algebras [PDF]

Proceedings of the Estonian Academy of Sciences, 2021
In this paper we describe the coequalizers in the category Seg of Segal topological algebras and present some sufficient conditions for the existence of pullbacks in Seg.
Mart Abel
doaj   +1 more source

About pushouts in the category φ(B) of Segal topological algebras; pp. 319–323 [PDF]

Proceedings of the Estonian Academy of Sciences, 2019
In this paper, we answer positively the open question, posed in [2], about the existence of pushouts in the category φ(B) of Segal topological algebras.
Mart Abel
doaj   +1 more source

About the cocompleteness of the category S(B) of Segal topological algebras [PDF]

Proceedings of the Estonian Academy of Sciences, 2020
In this paper, we show that the category S(B) of Segal topological algebras is cocomplete, i.e., that the colimits of all direct systems in the category S(B) exist.
Mart Abel
doaj   +1 more source

Local Pre-Hausdorffness and D-connectedness in L-valued closure spaces

AIMS Mathematics, 2022
Previously, several characterization of local Pre-Hausdorffness and $ D $-connectedness have been examined in distinct topological categories. In this paper, we give the characterization of local $ T_{0} $ (resp.
Naveed Ahmad Malik, Sana Khyzer, Muhammad Qasim   +2 more
doaj   +1 more source

Probabilistic approach spaces [PDF]

Mathematica Bohemica, 2017
We study a probabilistic generalization of Lowen's approach spaces. Such a probabilistic approach space is defined in terms of a probabilistic distance which assigns to a point and a subset a distance distribution function.
Gunther Jäger
doaj   +1 more source