A function space C(K) not weakly homeomorphic to C(K)×C(K)

A Rigid Space Homeomorphic to Hilbert Space

A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity map. This is in sharp contrast to the behavior of operators on `2, and so rigid spaces are, from the viewpoint of functional analysis, fundamentally different from Hilbert space. Nevertheless, we show in this paper that a rigid space can be constructed which is topologically homeomorp...

A symplectic manifold homeomorphic but not diffeomorphic to

In this paper we construct a minimal symplectic 4-manifold and prove it is homeomorphic but not diffeomorphic to CP#3CP 2 .

A not on modular hyperconvex space

The Space of Lelek Fans in the Cantor Fan Is Homeomorphic to Hilbert Space

We show that the space of all Lelek fans in a Cantor fan, equipped with the Hausdorff metric, is homeomorphic to the separable Hilbert space. This result is a special case of a general theorem we prove about spaces of upper semicontinuous functions on compact metric spaces that are strongly discontinuous.

A Computational Approach to Measuring Homeomorphic Defect

A Computational Approach to Measuring Homeomorphic Defect by Scott M. LaLonde Master of Science in Mathematics Clarkson University An important concept in the field of dynamical systems is the notion of conjugacy. Two dynamical systems are said to be conjugate if their dynamics are topologically equivalent. In other words, there is a homeomorphism between the underlying spaces which preserves t...