TOPOLOGY FIELDS, TOPOLOGICAL FLOWS AND TOPOLOGICAL ORGANISMS

Topology may described a pattern of existence of ele- ments of a given set X. The family ¿ (X) of all topologies given on a set X form a complete lattice. We will give some topologies on this lattice ¿ (X) using a topology on X and regard ¿ (X) a topological space. A topology ¿ on X can be regarded a map from X to ¿ (X) naturally. Such a map will be called topology ¯eld. Similarly we can also de¯ne pe-topology ¯eld. If X is a topological °ow group with acting group T, then naturally we can get a another topological°ow ¿ (X) with same acting group T. If the topological °ow X is minimal, we can prove ¿ (X) is also minimal. The disjoint unions of the topological spaces can describe some topological systems (topological organisms). Here we will give a de¯nition of topological organism. Our purpose of this study is to describe some properties concerning patterns of relationship be-tween topology ¯elds and topological organisms.