general topology implies soft topology but not in converse.Then there should be some topological properties exist in soft topology which is not exist in general topology. do anybody know such properties?
This is a good question with many possible answers.
Soft topology is introduced in
http://www.sciencedirect.com/science/article/pii/S0898122111004044
To answer this quetion, we need to consider the possibility of a pullback operation,, in which a structure in soft topology can be replaced by a structure in general topology. Recall that a soft set is a set of ordered pairs (x,fA(x)), where fA(x) is anj approximation function and x is an uncertain that is approximated using parameters in A. Nonempty sets in a general topology do not depend on an approximation function. From this, soft sets cannot be pulled back to ordinary sets. Since the properties of soft topology are defined in terms of soft sets, such properties have no counterpart in generAl topology.
Define some properties which depends on parameters; those may be different from general topological point of view.
This is a good question with many possible answers.
Soft topology is introduced in
http://www.sciencedirect.com/science/article/pii/S0898122111004044
To answer this quetion, we need to consider the possibility of a pullback operation,, in which a structure in soft topology can be replaced by a structure in general topology. Recall that a soft set is a set of ordered pairs (x,fA(x)), where fA(x) is anj approximation function and x is an uncertain that is approximated using parameters in A. Nonempty sets in a general topology do not depend on an approximation function. From this, soft sets cannot be pulled back to ordinary sets. Since the properties of soft topology are defined in terms of soft sets, such properties have no counterpart in generAl topology.
Dear Professor James F Peters. Thank you for your answer. It is important knowledge för me tools. I am pleased with you.
Best Wishes.
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