Set-Theoretic Topology

Dear Colleagues,

The interaction between set theory and general topology has been a fruitful one since the beginning of the fields. Set theory helped solve several classic problems in general topology, such as the Suslin problem, the normal Moore space problem and the Moore–Mrowka problem, by establishing their independence from ZFC. On the other hand, work on these and other problems has boosted the development and refinement of tools and techniques that are essential in set theory nowadays. Set theory continues to have a great impact on most major recent advances in general topology, as shown, for example, by Justin Moore’s solution to the L-space problem from 2006, which made ample use of Stevo Todorcevic’s method of minimal walks. 

We are preparing a Special Issue of the journal “Axioms” dedicated to set-theoretic topology. We welcome articles on all major topics in the field, including cardinal functions, covering properties, convergence properties, generalized metric spaces, topological function spaces, homogeneous spaces, topological groups, Corson compacta, selection principles and topological games. All high-quality papers on these and related topics will be considered, but preference will be given to those that make substantial use of set-theoretic techniques.

Dr. Santi Spadaro
Dr. Rodrigo Hernandez-Gutierrez
Guest Editors

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. Axioms 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 2400 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.

• Cardinal functions
• Homogeneous spaces
• Topological groups
• Function spaces
• Selection principles
• Topological games
• Corson compacta
• Covering properties