The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying 1301 – 1320 of 3028

Showing per page

On similarity between topologies

Artur Bartoszewicz, Małgorzata Filipczak, Andrzej Kowalski, Małgorzata Terepeta (2014)

Open Mathematics

Let T 1 and T 2 be topologies defined on the same set X and let us say that (X, T 1) and (X, T 2) are similar if the families of sets which have nonempty interior with respect to T 1 and T 2 coincide. The aim of the paper is to study how similar topologies are related with each other.

On simultaneous rational approximation to a real number and its integral powers

Yann Bugeaud (2010)

Annales de l’institut Fourier

For a positive integer n and a real number ξ , let λ n ( ξ ) denote the supremum of the real numbers λ such that there are arbitrarily large positive integers q such that | | q ξ | | , | | q ξ 2 | | , ... , | | q ξ n | | are all less than q - λ . Here, | | · | | denotes the distance to the nearest integer. We study the set of values taken by the function λ n and, more generally, we are concerned with the joint spectrum of ( λ 1 , ... , λ n , ... ) . We further address several open problems.

Currently displaying 1301 – 1320 of 3028