Carter, Sheila; Craveiro de Carvalho, F.J.(Universitat Politècnica de València, 2008-04-01)
[EN] The cancellation problem, which goes back to S. Ulam, is formulated as follows:
Given topological spaces X, Y, Z, under what circumstances does X × Z ≈Y × Z (≈ meaning homeomorphic to) imply X ≈ Y ?
In it is ...
Kannan, V; Gopal, Sharan(Universitat Politècnica de València, 2016-10-03)
[EN] The sets of periodic points of self homeomorphisms on an ordinal of finite derived length are characterised, thus characterising the same for homeomorphisms on compact metric spaces with finite derived length. A ...
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 ...
Hattab, Hawete(Universitat Politècnica de València, 2017-04-03)
[EN] Let G be a subgroup of the group Homeo(E) of homeomorphisms of a Hausdorff topological space E. The class of an orbit O of G is the union of all orbits having the same closure as O. We denote by E=eG the space of ...
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 ...