$l$-enriched topological systems---a common framework of $l$-topology and $l$-frames
نویسندگان
چکیده
employing the notions of the strong $l$-topology introduced by zhangand the $l$-frame introduced by yao and the concept of $l$-enrichedtopological system defined in the present paper, we constructadjunctions among the categories {bf st$l$-top} of strong$l$-topological spaces, {bf s$l$-loc} of strict $l$-locales and{bf $l$-entopsys} of $l$-enriched topological systems. all of theseconcepts are essentially based on the theory of $l$-enrichedcategories, thus we obtain a unified enriched-categorical version ofthe classical adjunctions among the categories {bf top} oftopological spaces, {bf loc} of locales and {bf topsys} oftopological systems, as well as a unified enriched-categoricalapproach to treating these concepts.
منابع مشابه
$L$-enriched topological systems---a common framework of $L$-topology and $L$-frames
Employing the notions of the strong $L$-topology introduced by Zhangand the $L$-frame introduced by Yao and the concept of $L$-enrichedtopological system defined in the present paper, we constructadjunctions among the categories {bf St$L$-Top} of strong$L$-topological spaces, {bf S$L$-Loc} of strict $L$-locales and{bf $L$-EnTopSys} of $L$-enriched topological systems. All of theseconcepts are ...
متن کاملA note on specialization L-preorder of L-topological spaces, L-fuzzifying topological spaces, and L-fuzzy topological spaces
It is shown that, for any spatial frame L (i.e., L is a complete lattice generated by the set of all prime elements), both the specialization L-preorder of L-topological spaces introduced by Lai and Zhang [Fuzzy preorder and fuzzy topology, Fuzzy Sets and Systems 157 (2006) 1865–1885] and that of L-fuzzifying topological spaces introduced by Fang and Qiu [Fuzzy orders and fuzzifying topologies,...
متن کاملVarious L-signatures and a topological L-signature theorem
For a normal covering over a closed oriented topological manifold we give a proof of the L-signature theorem with twisted coefficients, using Lipschitz structures and the Lipschitz signature operator introduced by Teleman. We also prove that the L-theory isomorphism conjecture as well as the C∗ max-version of the Baum-Connes conjecture imply the L-signature theorem for a normal covering over a ...
متن کاملL-Py, an open L-systems framework in Python
L-systems were conceived as a mathematical framework for modeling growth of plants. In this paper, we present L-Py, a simulation software that mixes L-systems construction with the Python high-level modeling language. In addition to this software module, an integrated visual development environment has been developed that facilitates the creation of plant models. In particular, easy to use opti...
متن کاملL – A Common Lisp for Embedded Systems
A commercially available system has been developed which allows for the use of Common Lisp in real time embedded control systems. The backbone of this system is a language called L. L is a subset of Common Lisp with multi-processing extensions. It is ideal for use in embedded systems with small computers. The system has a minimal memory footprint and can run on small processors. L contains both...
متن کاملExtension of shift-invariant systems in L(R) to frames
In this paper we show that any shift-invariant Bessel sequence with an at most countable number of generators can be extended to a tight frame for its closed linear span by adding another shift-invariant system with at most the same number of generators. We show that in general this result is optimal, by providing examples where it is impossible to obtain a tight frame by adding a smaller numbe...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
iranian journal of fuzzy systemsناشر: university of sistan and baluchestan
ISSN 1735-0654
دوره 11
شماره 5 2014
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023