Reconstructing the Topology on Monoids and Polymorphism Clones of the Rationals

, &
Studia Logica 105 (1):65-91 (2017)
  Copy   BIBTEX

Abstract

We show how to reconstruct the topology on the monoid of endomorphisms of the rational numbers under the strict or reflexive order relation, and the polymorphism clone of the rational numbers under the reflexive relation. In addition we show how automatic homeomorphicity results can be lifted to polymorphism clones generated by monoids.

Categories

Keywords

Reprint years

DOI

10.1007/s11225-016-9682-z

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

2. Grounding Polymorphism: Polymorphism and the Structure of Human Being.Gerard Walmsley - 2008 - In Lonergan on Philosophic Pluralism: The Polymorphism of Conciousness as the Key to Philosophy. University of Toronto Press. pp. 55-95.
The variety of lattice-ordered monoids generated by the natural numbers.Annika M. Wille - 2004 - Studia Logica 76 (2):275 - 290.
Persons and their copies.D. McCarthy - 1999 - Journal of Medical Ethics 25 (2):98-104.
The Class of Representable Ordered Monoids has a Recursively Enumerable, Universal Axiomatisation but it is Not Finitely Axiomatisable.Robin Hirsch - 2005 - Logic Journal of the IGPL 13 (2):159-171.
6. Polymorphism in Method in Theology.Gerard Walmsley - 2008 - In Lonergan on Philosophic Pluralism: The Polymorphism of Conciousness as the Key to Philosophy. University of Toronto Press. pp. 204-241.
3. Polymorphism in Insight: Patterns of Experience.Gerard Walmsley - 2008 - In Lonergan on Philosophic Pluralism: The Polymorphism of Conciousness as the Key to Philosophy. University of Toronto Press. pp. 96-137.
Étude constructive de problèmes de topologie pour les réels irrationnels.Mohamed Khalouani, Salah Labhalla & Et Henri Lombardi - 1999 - Mathematical Logic Quarterly 45 (2):257-288.
Quasi-varieties: A special access. [REVIEW]Dr Habil Hans-Jürgen Hoehnke - 2004 - Studia Logica 78 (1-2):249-260.
5. Polymorphism: The One and Only Key to Philosophy?Gerard Walmsley - 2008 - In Lonergan on Philosophic Pluralism: The Polymorphism of Conciousness as the Key to Philosophy. University of Toronto Press. pp. 170-203.
Reconstructing an Open Order from Its Closure, with Applications to Space-Time Physics and to Logic.Francisco Zapata & Vladik Kreinovich - 2012 - Studia Logica 100 (1-2):419-435.
On involutive FLe-monoids.Sándor Jenei & Hiroakira Ono - 2012 - Archive for Mathematical Logic 51 (7-8):719-738.
Formal Zariski topology: positivity and points.Peter Schuster - 2006 - Annals of Pure and Applied Logic 137 (1-3):317-359.
On the formal points of the formal topology of the binary tree.Silvio Valentini - 2002 - Archive for Mathematical Logic 41 (7):603-618.
Undecidability of representability as binary relations.Robin Hirsch & Marcel Jackson - 2012 - Journal of Symbolic Logic 77 (4):1211-1244.
Inductively generated formal topologies.Thierry Coquand, Giovanni Sambin, Jan Smith & Silvio Valentini - 2003 - Annals of Pure and Applied Logic 124 (1-3):71-106.

Analytics

Added to PP
2016-10-18

Downloads
24 (#642,030)

6 months
4 (#800,606)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Add more citations

References found in this work

No references found.

Add more references