الفهرس 
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Abstract
BASIC CONCEPTES
This chapter is an introduction and present brief the most
important definitions which is useful surrvey to follow up the
result work of this thesis.
CHAPTER II
Dispersion of the space
In this chapter we defined different types of what we call
dispersion, the dispersion of family of sets and the result of this
dispersion is discussed.
Also we discussed another example of dispersion is known
sirpenski triangle which is an example of which we call regular
dispersion. We discussed the dispersion of discrete and indiscrete
topological spaces.
Also we discussed the dispersion of 1- manifold of curvature = 0
or curvature ≠ 0.Finally we discussed some corollaries.
CHAPTER III
Retraction of dynamical Manifold and its dispersion
In this chapter we discussed retraction of the set, we defined
the retraction of dynamical Manifold and we consider the chain of
II
retractions and homeomorphism as an example of dispersions of
this manifold.
We discussed the relation between the dispersion and retraction
of dynamical manifold. Also we discussed the dispersion and
connectdness. Finally we defined some types of dispersion.
CHAPTER IV
Retraction of Fuzzy Manifold and its Dispersion
In this chapter we defined fuzzy manifold, the retraction and
dispersion of this manifold under effect physical character are
studied.
Also we discussed the retraction and dispersion of the physical
character.
Finally we obtained some theorems governing this relation.
The results 0f chapter two were accepted for publication in
journal of Applied Mathematic in Bulgaria.