Chu connections and back diagonals between Q-distributors

نویسندگان

  • Lili Shen
  • Yuanye Tao
  • Dexue Zhang
چکیده

Chu connections and back diagonals are introduced as morphisms for distributors between categories enriched in a small quantaloid Q. These notions, meaningful for closed bicategories, dualize the constructions of arrow categories and the Freyd completion of categories. It is shown that, for a small quantaloid Q, the category of complete Q-categories and left adjoints is a retract of the dual of the category of Q-distributors and Chu connections, and it is dually equivalent to the category of Q-distributors and back diagonals. As an application of Chu connections, a postulation of the intuitive idea of reduction of formal contexts in the theory of formal concept analysis is presented, and a characterization of reducts of formal contexts is obtained.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Chu connections and back diagonals between $\mathcal{Q}$-distributors

Chu connections and back diagonals are introduced as morphisms for distributors between categories enriched in a small quantaloid Q. These constructions, meaningful for closed bicategories, are dual to that of arrow categories and the Freyd completion of categories. It is shown that, for a small quantaloid Q, the category of complete Q-categories and left adjoints is a retract of the dual of th...

متن کامل

Limits and Colimits of Quantaloid-enriched Categories and Their Distributors

It is shown that, for a small quantaloid Q, the category of small Q-categories and Q-functors is total and cototal, and so is the category of Q-distributors and Q-Chu transforms.

متن کامل

The Relationship between Range of the ankle motion, Q angle and back stroke kicking on male Swimmers

The purpose of this research is to survey the relationship between range of the ankle motion and Q angle and back stroke kicking on male swimmers. 34 on available boy students swimmers were selected with mean and SD of age 23.68±2.28 years, weight 71.88±9.35 kg and height 176.11±5.52 cm in this study. First, Right and Left Leg Q angles (to supine position), Range of Dorsal flexion and plan...

متن کامل

Faster Sorting and Routing on Grids with Diagonals

We study routing and sorting on grids with diagonal connections. We show that for so-called h-h problems faster solutions can be obtained than on comparable grids without diagonals. In most of the cases the number of transport steps for the new algorithms are less than half the on principle smallest number given by the bisection bound for grids without diagonals.

متن کامل

Categorical Structures Enriched in a Quantaloid: Categories, Distributors and Functors

We thoroughly treat several familiar and less familiar definitions and results concerning categories, functors and distributors enriched in a base quantaloidQ. In analogy with V-category theory we discuss such things as adjoint functors, (pointwise) left Kan extensions, weighted (co)limits, presheaves and free (co)completion, Cauchy completion and Morita equivalence. With an appendix on the uni...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره abs/1503.06647  شماره 

صفحات  -

تاریخ انتشار 2015