Special Issue "Theory and Applications of Pretopology"

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 30 November 2019

Special Issue Editor

Guest Editor
Prof. Dr. Jean-Charles Pinoli

Ecole Nationale Supérieure des Mines, 158 cours Fauriel, 42023 Saint-Etienne Cedex 2, France
Website | E-Mail
Interests: general topology; geometric measure theory; image analysis ; mathematical imaging; pretopology; stochastic geometry; stereology

Special Issue Information

Dear Colleagues,

This Special Issue will report recent advances on the “Theory and Applications of Pretopology”. Research, survey or applied papers are welcome.

Pretopology is the sub-branch of general topology dealing with sets equipped with more general structures than classical topologies and defined via pre-closure operators, including topological closure operators as a special case. Neighbourhood operators and convergence operators are alternative primitive notions that are also used in pretopology to structure a set. Pretopology first appeared at the time of the foundations of general topology in the early twentieth century, but remained in its shadow and is still largely unknown. It enables compensation for an excessively large restriction of the axiomatic of topological spaces, and its application fields are many and varied, in both the formal, natural and human sciences and engineering (artificial intelligence, astronomy, biology, chemistry, cosmology, economics, computer sciences, logic, mechanics, pattern recognition, physics, physique mathematics, psychology, robotics, semantics, etc.).

The topics for this Special Issue range from concepts and basic notions up to more advanced topics such as hyperspaces related to pretopological spaces or spaces of functions between pretopological spaces. It also aims reporting new developments and problems in pretopology arising from applications.

Prof. Dr. Jean-Charles Pinoli
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 papers will be 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. Mathematics is an international peer-reviewed open access monthly 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 850 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.


  • Connectedness, continuity, countability, separation, etc.
  • Convergence operators
  • Neighborhood spaces
  • Neighborhood operators
  • Preclosure operators
  • Pretopological function spaces
  • Pretopological hyperspaces
  • Pretopological spaces
  • Pretopology and rough sets, fuzzy sets …
  • Pseutopological spaces
  • Set collections: filters, stacks, rasters …

Published Papers

This special issue is now open for submission.
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