General Topology of the Universe

ABSTRACT

General topology of the universe is described. It is concluded that topology of the present universe is greater or stronger than the topology of the universe in the past and topology of the future universe will be stronger or greater than the present topology of the universe. Consequently, the universe remains unbounded. The general topological approach comprises of powerful techniques that could prove to be useful to prescribe mathematical constraints on the global character of the universe as well as on the manifold of space-time.

KEYWORDS

General Topology, Manifold, Boundary, Causality, Euclidean Space, Discreteness, Limit Points

General Topology, Manifold, Boundary, Causality, Euclidean Space, Discreteness, Limit Points

Cite this paper

Pandya, A. (2014) General Topology of the Universe.*Applied Mathematics*, **5**, 2442-2446. doi: 10.4236/am.2014.516235.

Pandya, A. (2014) General Topology of the Universe.

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[1] Aalok, P. (2012) Null Cone Representation of Interactions and Causal Structure. Physics Essays, 25, 228-232.

http://dx.doi.org/10.4006/0836-1398-25.2.228

[2] Aalok, P. (2013) Computational Investigations of the Null Cone Representation of Interactions. Physics Essays, 26, 24-26.

http://dx.doi.org/10.4006/0836-1398-26.1.24

[3] Joshi, P.S. (1993) Global Aspects in Gravitation and Cosmology. Oxford Science Publications, Oxford.

[4] Hartle, J.B. and Hawking, S.W. (1983) Wave Function of the Universe. Physical Review D, 28, 2960-2975; Hawking, S.W. (1984) Quantum State of the Universe. Nuclear Physics B, 39, 257-276.

[5] Hawking, S.W. and Ellis, G.F.R. (1973) The Large Scale Structure of Space-Time. Cambridge University Press, Cam-bridge.

[6] Lachieze-Rey, M. and Luminet, J.P. (1995) Cosmic Topology. Physics Reports, 254, 135-214.

http://dx.doi.org/10.1016/0370-1573(94)00085-H

[7] Li, M. (1986) On Topological Aspects of the Birth of the Universe. Physics Letters B, 173, 229-232.

http://dx.doi.org/10.1016/0370-2693(86)90507-1

[8] Melott, A.L. (1990) The Topology of the Large Scale Structure in the Universe. Physics Reports, 193, 1-39.

http://dx.doi.org/10.1016/0370-1573(90)90162-U

[9] Penrose, R. (1972) Techniques of Differential Topology in Relativity. A. M. S. Colloquium Publications, SIAM Philadelphia.

http://dx.doi.org/10.1137/1.9781611970609

[10] Vyas, U.D. and Joshi, P.S. (1989) Topological Techniques in General Relativity in Geometry and Topology. World Scientific, Singapore, 315-331.

[11] Munkres, J.R. (1975) Topology: A First Course. Prentice-Hall Inc., Englewood Cliffs.