Relationship between cardinality and number of topologies on a set

3moonlight9 · Dec 1, 2009

Is there any formula that gives a relation between the cardinal number of a given set and the number of the topologies that can be taken from this set?

Moo Of Doom · Dec 1, 2009

You might want to look at http://www.research.att.com/~njas/sequences/A000798 for some references.

3moonlight9 · Dec 3, 2009

Thank you for the suggestion.
Anyway, what I am reading is not really clear.

Relationship between cardinality and number of topologies on a set

Discussion

Similar threads

Undergrad Cardinality of non-measurable sets

Graduate On the relationship between Chern number and zeros of a section

Undergrad Cardinality of Unions of Powersets

Combinatorics and set cardinality

Undergrad Add an exponential number of elements, what will be the final cardinality?

Undergrad Does the definition of cardinality assume distinguishability?

Undergrad Cardinality of decreasing functions from N to N

Undergrad Cardinality of a set of constant symbols (model theory)

Undergrad Cardinality of the Power Series of an Infinite Set

Undergrad Cardinality of fibers same for covering maps