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AISB opportunities Bulletin Item

FINAL CALL FOR PAPERS: Special Issue on Point-free geometry and topology


Point-free systems of geometry and topology are those geometrical and topological theories which do
not include the notion of point among their primitive concepts. On the one hand, research within 
this branch of logic and mathematics was initiated at the beginning of the XXth century by Alfred N.
Whitehead and Theodore de Laguna with the aim to give intuitive foundations of Euclidean geometry. 
On the other hand, Marshall Stone in his ground-breaking representation theorems for Boolean 
algebras showed how closely related to each other are algebra and topology.

Whitehead's and de Laguna's ideas gave rise to the so called region-based theories of space, which 
aspire to describe spatial relations by means of regions and relations holding between them: 
inclusion (parthood) and connection. Stone's discoveries were the cornerstone of the theory of 
frames and locales, which turned out to be very fruitful in establishing properties of topological 
spaces. However, both approaches to point-free theories of space are closely related to each other:
regions have algebraic properties which allow to reconstruct geometries and topologies, frames and 
locales deliver tools which shed new light on mutual dependencies between algebraic and topological

We invite all scholars interested in the field to submit papers for the special issue of Logic and 
Logical Philosophy devoted to point-free systems of geometry and topology. We expect papers 
submitted to be related to point-free geometry and topology via the following research areas:

* Contact algebras, connection structures, region connection calculus
* Foundations of geometry and topology
* Frames and locales
* Point-free metric spaces
* Modal logics of space
* Mereology
* Mereotopology
* Ontology of space
* Proximity spaces
* Qualitative theories of space
* Representation theorems for ordered sets
* Rough mereology
* Spatial logic.

Expected publication: Winter 2012/Spring 2013.

In case we receive a large number of high-quality papers we will publish them in two parts in two 
different issues.

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+       Papers should be sent to one of the Guest Editors:                +
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+                - Giangiacomo Gerla:                     +
+                - Cristina Coppola:                    +
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+       Guide for authors:        +
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+       CFP on the web:             +
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+       About LLP:                +
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