Buzyakova, Raushan(Universitat Politècnica de València, 2021-04-01)
[EN] Given an autohomeomorphism on an ordered topological space or its subspace, we show that it is sometimes possible to introduce a new topology-compatible order on that space so that the same map is monotonic with respect ...
Burke, Dennis; Buzyakova, Raushan(Editorial Universitat Politècnica de València, 2015-04-01)
[EN] We study fixed-point free multivalued selfmaps on R as well as continuous fixed-point free selection of multivalued selfmaps on R. We justify necessary conditions in some earlier results and motivate some new interesting ...
Buzyakova, Raushan(Universitat Politècnica de València, 2016-10-03)
[EN] We show that for any continuous monotonic bijection $f$ on a $\sigma$-compact subgroup $G\subset \mathbb R$ there exists a binary operation $+_f$ such that $\langle G, +_f\rangle$ is a topological group topologically ...
Buzyakova, Raushan(Universitat Politècnica de València, 2024-04-02)
[EN] We study topological groups of monotonic automorphisms on a generalized ordered space L. We find a condition that is necessary and sufficient for the set of all monotonic automorphism on L along with the function ...
Buzyakova, Raushan(Universitat Politècnica de València, 2019-04-01)
[EN] We identify a class of linearly ordered topological spaces X that may satisfy the property that X × X is homeomorphic to X ×l X or can be embedded into a linearly ordered space with the stated property. We justify the ...