Isolated Suborders and their Application to Counting Closure Operators

Glück, Roland (2023) Isolated Suborders and their Application to Counting Closure Operators. Cornell University. [Other]

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Official URL: https://arxiv.org/abs/2302.13081

Abstract

In this paper we investigate the interplay between isolated suborders and closures. Isolated suborders are a special kind of suborders and can be used to diminish the number of elements of an ordered set by means of a quotient construction. The decisive point is that there are simple formulae establishing relationships between the number of closures in the original ordered set and the quotient thereof induced by isolated suborders. We show how these connections can be used to derive a recursive algorithm for counting closures, provided the ordered set under consideration contains suitable isolated suborders.

Item URL in elib:

https://elib.dlr.de/194099/

Document Type:

Other

Title:

Isolated Suborders and their Application to Counting Closure Operators

Authors:

Authors	Institution or Email of Authors	Author's ORCID iD	ORCID Put Code
Glück, Roland	UNSPECIFIED	https://orcid.org/0000-0001-7909-1942	UNSPECIFIED

Date:

2023

Journal or Publication Title:

arXiv

Refereed publication:

Open Access:

Yes

DOI:

10.48550/arXiv.2302.13081

Number of Pages:

Publisher:

Cornell University

Status:

Published

Keywords:

hull, closure, counting, isolated suborder

HGF - Research field:

Aeronautics, Space and Transport

HGF - Program:

Space

HGF - Program Themes:

Space System Technology

DLR - Research area:

Raumfahrt

DLR - Program:

R SY - Space System Technology

DLR - Research theme (Project):

R - Project Factory of the Future

Location:

Augsburg

Institutes and Institutions:

Institute of Structures and Design > Automation and Production Technology

Deposited By:

Glück, Dr. Roland

Deposited On:

03 Mar 2023 09:09

Last Modified:

07 Oct 2024 14:22

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