## 6 Citations

### Approximable triangulated categories

- Mathematics
- 2018

In this survey we present the relatively new concept of \emph{approximable triangulated categories.} We will show that the definition is natural, that it leads to powerful new results, and that it…

### A Thurston compactification of the space of stability conditions.

- Mathematics
- 2020

We propose a compactification of the moduli space of Bridgeland stability conditions of a triangulated category. Under mild conditions on the triangulated category, we conjecture that this…

### Completing perfect complexes

- MathematicsMathematische Zeitschrift
- 2020

This note proposes a new method to complete a triangulated category, which is based on the notion of a Cauchy sequence. We apply this to categories of perfect complexes. It is shown that the bounded…

### NORMS ON CATEGORIES AND ANALOGS OF THE SCHRÖDER-BERNSTEIN THEOREM

- MathematicsProceedings of the conference Contemporary Mathematics in Kielce 2020, February 24-27 2021
- 2021

We generalize the concept of a norm on a vector space to one of a norm on a category. This provides a unified perspective on many specific matters in many different areas of mathematics like set…

### Bounded t-structures on the category of perfect complexes

- Mathematics
- 2020

. Let X be a ﬁnite-dimensional, noetherian scheme. Antieau, Gepner and Heller conjectured that its derived category of perfect complexes has a bounded t – structure if and only if X is regular. We…

### Relative stable categories and birationality

- MathematicsJournal of the London Mathematical Society
- 2021

We propose a general method to construct new triangulated categories, relative stable categories, as additive quotients of a given one. This construction enhances results of Beligiannis, particularly…

## References

SHOWING 1-10 OF 21 REFERENCES

### Approximable triangulated categories

- Mathematics
- 2018

In this survey we present the relatively new concept of \emph{approximable triangulated categories.} We will show that the definition is natural, that it leads to powerful new results, and that it…

### On triangulated orbit categories

- Mathematics
- 2005

We show that the category of orbits of the bounded derived category of a hereditary category under a well-behaved autoequivalence is canonically triangulated. This answers a question by A. Buan, R.…

### Completing perfect complexes

- MathematicsMathematische Zeitschrift
- 2020

This note proposes a new method to complete a triangulated category, which is based on the notion of a Cauchy sequence. We apply this to categories of perfect complexes. It is shown that the bounded…

### Notes on enriched categories with colimits of some class (completed version)

- Mathematics
- 2005

The paper is in essence a survey of categories having $\phi$-weighted colimits for all the weights $\phi$ in some class $\Phi$. We introduce the class $\Phi^+$ of {\em $\Phi$-flat} weights which are…

### BASIC CONCEPTS OF ENRICHED CATEGORY THEORY

- MathematicsElements of ∞-Category Theory
- 2005

Although numerous contributions from divers authors, over the past fifteen years or so, have brought enriched category theory to a developed state, there is still no connected account of the theory,…

### Eilenberg-Mac Lane spectra

- Mathematics
- 1974

Let K(Z,) be the Eilenberg-Mac Lane spectrum with homotopy Z, and let A =H*(K(Zp); Z,)-the modp Steenrod algebra. Let X be a locally finite spectrum. It is proven that [K(Zp), X] HomA(H*(X; Zp), A)…

### Metric spaces, generalized logic, and closed categories

- Mathematics
- 1973

SuntoIn questo articolo viene rigorosamente sviluppata l'analogia fra dist (a, b)+dist (b, c)≥dist (a, c) e hom (A, B) ⊗ hom (B, C)→ hom (A, C), giungendo a numerosi risultati generali sugli spazi…

### Metric Spaces

- Mathematics
- 1990

The papers [3], [7], [2], [1], [5], [6], and [4] provide the notation and terminology for this paper. We consider metric structures which are systems 〈 a carrier, a distance 〉 where the carrier is a…

### Duality and Eilenberg-Mac Lane spectra

- Mathematics
- 1976

Stable cohomotopy groups of Eilenberg-Mac Lane spectra of finite groups are shown to be trivial. This implies that the stable homotopy category, which is large enough to represent ordinary cohomology…