✦ LIBER ✦

On topological set theory

✍ Scribed by Thierry Libert; Olivier Esser

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 187 KB
Volume: 51
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.200410026

No coin nor oath required. For personal study only.

✦ Synopsis

This paper is concerned with topological set theory, and particularly with Skala's and Manakos' systems for which we give a topological characterization of the models. This enables us to answer natural questions about those theories, reviewing previous results and proving new ones. One of these shows that Skala's set theory is in a sense compatible with any 'normal' set theory, and another appears on the semantic side as a 'Cantor theorem' for the category of Alexandroff spaces.

📜 SIMILAR VOLUMES

ON SKALA'S SET THEORY

✍ Jannis Manakos 📂 Article 📅 1984 🏛 John Wiley and Sons 🌐 English ⚖ 406 KB

Quantum Field Theory || Topological Exci

Quantum Field Theory || Topological Excitations

✍ Huang, Kerson 📂 Article 📅 1998 🏛 Wiley-VCH Verlag GmbH 🌐 English ⚖ 891 KB

Quantum field theory is frequently approached from the perspective of particle physics. This book adopts a more general point of view and includes applications of condensed matter physics. Written by a highly respected writer and researcher, it first develops traditional concepts, including Feynman

Topological Properties on the Space of F

Topological Properties on the Space of Fuzzy Sets

✍ Sang Yeol Joo; Yun Kyong Kim 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 117 KB

On topological properties of ultraproduc

On topological properties of ultraproducts of finite sets

✍ Gábor Sági; Saharon Shelah 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 100 KB 👁 1 views

In [3] a certain family of topological spaces was introduced on ultraproducts. These spaces have been called ultratopologies and their definition was motivated by model theory of higher order logics. Ultratopologies provide a natural extra topological structure for ultraproducts. Using this extra st

Topologically Massive Gauge Theories

✍ S. Deser; R. Jackiw; S. Templeton 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 265 KB

Gauge vector and gravity models are studied in three-dimensional space-time, where novel, gauge invariant, P and T odd terms of topological origin give rise to masses for the gauge fields. In the vector case, the massless Maxwell excitation, which is spinless, becomes massive with spin 1. When inter

On the Theories of Triangular Sets

✍ Philippe Aubry; Daniel Lazard; Marc Moreno Maza 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 354 KB

Different notions of triangular sets are presented. The relationship between these notions are studied. The main result is that four different existing notions of good triangular sets are equivalent.