In this paper we discuss the interrelations among various spaces of distributions and show that none of them can be linearly and differentiably homeomorphic to the space of Mikusinski operators. It is also shown that the distributions of Mikusinski-Sikorski can also be defined by the method described by Temple as the completion of the space of continuous functions after introducing a weaker notion of convergence in this space. In this paper we develop the theory of infinite distributions and

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... interrelations among the various approaches to the theory of distributions. Our development of the infinite distribution is different from the usual methods of Schwartz or Mikusinski-Sikorski. In the various known theories of distributions every distribution is ultimately realised as an abstract finite derivative of a continuous function for each finite interval. This realisation apparently establishes a one-to-one correspondence among the various formulations of distributions -the only point to be checked up here being the reconstitution into a distribution in the respective defined sense starting with this realisation. As a matter of fact, in the course of this paper we prove that barring LighthiI I's generalized functions, Avner Friedman's distributions, Mikusinski's operators, the spaces of distributions as developed in [4], [5], [7], [8], and our space of distributions are essentially of the same structure. However, we find that none of them can be linearly and differentiably homeomorphic to the