• Corpus ID: 119125517

# A New Causal Topology and Why the Universe is Co-compact

@article{Kovar2011ANC,
title={A New Causal Topology and Why the Universe is Co-compact},
author={Martin Maria Kov'ar},
journal={arXiv: Mathematical Physics},
year={2011}
}
• M. Kov'ar
• Published 5 December 2011
• Mathematics
• arXiv: Mathematical Physics
We show that there exists a canonical topology, naturally connected with the causal site of J. D. Christensen and L. Crane, a pointless algebraic structure motivated by quantum gravity. Taking a causal site compatible with Minkowski space, on every compact subset our topology became a reconstruction of the original topology of the spacetime (only from its causal structure). From the global point of view, the reconstructed topology is the de Groot dual or co-compact with respect to the original…
12 Citations
• Mathematics
• 2014
In this article we present a review of a geometric and algebraic approach to causal cones and describe cone preserving transformations and their relationship with the causal structure related to
The focus of this article is on two forms of isometries and homomorphisms in spatial and descriptive proximity in proximal relator spaces. A practical outcome of this study is the detection of
This article introduces proximal relator spaces, a nonvoid family of proximity relations on a nonempty set that leads to an extension of fat and dense subsets of the relator space $X(\mathcal{R})$ to proximal fat and density subset of the space $\mathcal {R}_{delta}$.
The focus of this article is on defining descriptive approximations of sets or algebraic structures in proximal relator spaces. By way of a practical application, descriptive approximately algebraic
• Mathematics
• 2014
This article introduces proximal manifold learning via descriptive neighbourhood selection, which imposes a descriptive form of isometric mapping on high dimensional proximal data spaces into lower
This article introduces approximately rings, approximately ideals, and approximately rings of all approximately cosets by considering new operations on the set of all approximately cosets.
Bu makalede proksimal relator uzaylarinda yaklasimli yarigruplar ve ideallere giris yapilmistir. Tanimsal proksimiti bagintisi ile birlikte dikkate alinan dijital goruntulerde yaklasimli yarigrup ve
• Mathematics
ArXiv
• 2016
The focus of this article is on the detection and classification of patterns based on groupoids. The approach hinges on descriptive proximity of points in a set based on the neighborliness property.
• Art
• 2017
Bu calismada, zaman skalasinin de Groot dual topolojisini inceledik. De Groot dual topolojisi fiili sonsuzluk yerine potansiyel sonsuzluk ile ilgilidir.  reel sayi dogrusu zamani gostermek uzere onun

## References

SHOWING 1-10 OF 26 REFERENCES

• Mathematics, Computer Science
• 2005
A structure called a causal site to use as a setting for quantum geometry, replacing the underlying point set, has an interesting categorical form, and a natural “tangent 2-bundle,” analogous to the tangent bundle of a smooth manifold.
• Mathematics
• 2011
Hausdorff relation, topologically identifying points in a given space, belongs to elementary tools of modern mathematics. We show that if subtle enough mathematical methods are used to analyze this
Introduction. To practically every topological space T of importance (including metrizable and locally compact Hausdorff spaces) one can let correspond (essentially by interchanging compact and
• Physics
• 1973
The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions.
The purpose of this paper is to prove one of Zeeman's conjectures that the group of homeomorphisms of the finest topology on Minkowski space that induces the 3‐dimensional Euclidean topology on
Causality is represented by a partial ordering on Minkowski space, and the group of all automorphisms that preserve this partial ordering is shown to be generated by the inhomogeneous Lorentz group
• Computer Science
CLA
• 2005
The notion of (new) information base is introduced, and the relations between points of an information base and approximable concepts of a Chu space are investigated; the translations and context morphisms are investigated.
Geometry of Time and Space By Alfred A. Robb, which has now been republished, with certain modifications, improvements and additions.