Documents
Hausdorff dimension
in mathematics the hausdorff dimension is an extended real number line extended non negative real number that is a number in th...
Hausdorff space
in topology and related branches of mathematics a hausdorff space separated space or t space is a topological space in which points can be separ...
Compact space
...of function space s many of which are not metric spaces one of the main reasons for studying compact spaces is because they are in some ways very similar to finite set s in other words there are many res...
Felix Hausdorff
felix hausdorff november january was a german mathematician who is consi...
Connected space
in topology and related branches of mathematics a connected space is a topological space which cannot be represented as the disjoint union topology disjoin...
Hausdorff maximal principle
the hausdorff maximal principle also called the hausdorff maximality theorem formulated and proved by felix hausdorff...
Direct product
in mathematics one can often define a direct product of objects already known giving a new one examples are the product of sets see cartesian prod...
Compactification (mathematics)
Euclidean space
...f euclid have been encoded into an abstract mathematical space known as a two or three dimensional euclidean space these mathematical spaces may be extended to apply to any dimensionality and such a space is called...
Homeomorphism
...nut are topologically the same in the mathematics mathematical field of topology a homeomorphism or topological isomorphism from the greek language greek words homoios identica...
Dimension
for other senses of this word see dimension disambiguation a dimensional line segment a dimensional square geometry mode...
Directed set
directed redirects here for people who direct see director in mathematics a directed set is a nonempty right filtering preorder i e a nonempty set a together with a re...
Diffeomorphism
in mathematics a diffeomorphism is a kind of isomorphism of smooth manifold s it is an invertible function that maps...
Klein bottle
in three dimensional space in mathematics the klein bottle is a certain non orientability orientable surface i e a surface a two dimensional...
