Feature Papers in Topology and Its Applications

Special Issue Editor


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Guest Editor
CNRS, Institut FEMTO-ST, Université de Franche-Comté, F-25044 Besançon, France
Interests: topological quantum computing; epigenetics and epitranscriptomics; signal processing; geometry; quantum mechanics; discrete mathematics; graph theory; group theory; structural stability; communication; pure mathematics; topology
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Special Issue Information

Dear Colleagues,

As the Editor-in-Chief of the International Journal of Topology, I am glad to propose the Special Issue “Feature Papers in Topology and Its Applications”, which is intended to be a collection of high-quality papers (original research articles or comprehensive reviews) addressing the subject of topology, either the general concepts and open conjectures or the applications to other fields of knowledge.

We welcome the submission of manuscripts from Editorial Board Members and outstanding scholars invited by the Editorial Board and the Editorial Office.

You are welcome to send short proposals for submissions of Feature Papers to our Editorial Office ([email protected]) for evaluation.

We expect that this inaugural issue will pave the way for the success of the new journal.

Dr. Michel Planat
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. International Journal of Topology is an international peer-reviewed open access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 1000 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • algebraic, geometric, and differential topology
  • fuzzy topology
  • manifolds, including low-dimensional ones, exotic manifolds
  • topology and metric spaces
  • homotopy, homology, cohomology
  • measure theory
  • theory of knots and links
  • complexes
  • openness, nearness, connectedness, continuity, compactness
  • category theory, topoi
  • topological combinatorics
  • topological dynamics
  • topological quantum computing
  • applications of topology in biology, physics, computer science, robotics, engineering, etc.

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Further information on MDPI's Special Issue policies can be found here.

Published Papers (2 papers)

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Research

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9 pages, 249 KiB  
Article
Johnstone’e Non-Sober Dcpo and Extensions
by Dongsheng Zhao
Int. J. Topol. 2025, 2(1), 3; https://doi.org/10.3390/ijt2010003 - 3 Mar 2025
Viewed by 118
Abstract
One classic result in domain theory is that the Scott space of every domain (continuous directed complete poset) is sober. Johnstone constructed the first directed complete poset (dcpo for short) whose Scott space is not sober. This non-sober dcpo has been used in [...] Read more.
One classic result in domain theory is that the Scott space of every domain (continuous directed complete poset) is sober. Johnstone constructed the first directed complete poset (dcpo for short) whose Scott space is not sober. This non-sober dcpo has been used in many other parts of domain theory and more properties of it have been uncovered. In this survey paper, we first collect and prove the major properties (some of which are new as far as we know) of Johnstone’s dcpo. We then propose a general method of constructing a dcpo from given posets and prove some properties. Some problems are posed for further investigation. This paper can serve as a relatively complete resource on Johnstone’s dcpo. Full article
(This article belongs to the Special Issue Feature Papers in Topology and Its Applications)

Other

Jump to: Research

14 pages, 1697 KiB  
Perspective
Counting Polynomials in Chemistry II
by Dan-Marian Joița and Lorentz Jäntschi
Int. J. Topol. 2024, 1(1), 13-26; https://doi.org/10.3390/ijt1010003 - 23 Oct 2024
Viewed by 1081
Abstract
Some polynomials find their way into chemical graph theory less often than others. They could provide new ways of understanding the origins of regularities in the chemistry of specific classes of compounds. This study’s objective is to depict the place of polynomials in [...] Read more.
Some polynomials find their way into chemical graph theory less often than others. They could provide new ways of understanding the origins of regularities in the chemistry of specific classes of compounds. This study’s objective is to depict the place of polynomials in chemical graph theory. Different approaches and notations are explained and levelled. The mathematical aspects of a series of such polynomials are put into the context of recent research. The directions in which this project was intended to proceed and where it stands right now are presented. Full article
(This article belongs to the Special Issue Feature Papers in Topology and Its Applications)
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