Open Images of Orderable Spaces

Topology Proceedings 14 (1989) pp. 163-193: ON CONTINUOUS IMAGES OF ARCS AND COMPACT ORDERABLE SPACES

On L-spaces and Non Left–orderable 3-manifold Groups

We show that a class of 3–manifolds with non left–orderable fundamental group are Heegaard Floer homology L–spaces

On L-spaces and Left-orderable Fundamental Groups

Examples suggest that there is a correspondence between L-spaces and 3manifolds whose fundamental groups cannot be left-ordered. In this paper we establish the equivalence of these conditions for several large classes of such manifolds. In particular, we prove that they are equivalent for any closed, connected, orientable, geometric 3-manifold that is non-hyperbolic, a family which includes all...

On weak-open compact images of metric spaces

To find internal characterizations of certain images of metric spaces is one of central problems in general topology. Arhangel’skiı̆ [1] showed that a space is an open compact image of a metric space if and only if it has a development consisting of point-finite open covers, and some characterizations for certain quotient compact images of metric spaces are obtained in [3, 5, 8]. Recently, Xia [...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...