A weaker version of zeeman's conjecture on space topology

eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences August 2009 21 2 531 542 jusps-A 1220 article A weaker version of zeeman's conjecture on space topology Ujagar Patel 1 Somanath Choudhury 1 Department of Mathematics, Government Autonomous College, Bhawanipatna (INDIA) Zeeman, in his paper 'Topology of Minkowski Space' made two conjectures : (1) the topology in Minkowski Space that induces the 3-dimensional Euclidean topology on every space- like hyperplane (S-topology) has G as its group of homeomorphisms, where G is the smallest group generated by the inhomogeneous Lorentz group and dilatation (multiplication by +ve scalars); (2) the topology on Minkowski space that induces the one-dimensional Euclidean topology on every time-like line (T-topology) also has G as its homeomorphism group. Since it is known that G is precisely the set of < - automorphism (where < is the causality relation on Minkowski space), we have made an alternative formulation of the second conjecture as follows : every homeomorphism of the T-topology is a < - automorphism. Here we have dealt with a weaker version of Zecman's conjecture on space topology. https://www.ultrascientist.org/paper/1220/ weaker version conjecture on space topologyu00a0