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We consider the phase transition in a model which consists of a
Ginzburg-Landau free energy for superconductors including a Chern-Simons
term. The mean-field theory of Halperin, Lubensky and Ma (Phys. Rev. Lett.,
32 (1974) 292) is applied for this model. It is found that the
topological mass, θ, drives the system into different regimes of
phase transition. For instance, there is a θc such that for
θ<θc a fluctuation-induced first-order phase transition
occurs. On the other hand, for θ>θc
only the second-order phase transition exists. The 1-loop renormalization
group analysis gives further insight into this picture. The fixed-point
structure exhibits tricritical and second-order fixed points
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