To determine what spaces are the images of “nice” spaces under “nice” mappings is one of the central questions of general topology in 1 . In the past, many noteworthy results on images of metric spaces have been obtained. For a survey in this field, see 2 , for example. A characterization for a quotient compact image of a locally separable metric space is obtained in 3 . Also, such a quotient i...

Abstract. Block sequences with respect to frames in Hilbert spaces have been defined. Examples have been provided to show that a block sequence with respect to a given frame may not even be a Bessel sequence. Also, a necessary and sufficient condition under which a block sequence with respect to a frame is a frame has been given. Further, applications of block sequences to obtain Fusion frames ...

'Space and place are central to the strategies and meaning of protest’ (p. xi) reads the opening sentence of Katrina Navickas's latest study, Protest and the Politics of Space and Place 1789–1848. Written, in part, as a response to the 'spatial turn' in History, Navickas makes a cogent and persuasive argument for attending to the importance of the particularities of 'place' rather than the abst...

The basic concept of intuitionistic fuzzy point has been defined by Çoker and Demirci. Also, Çoker constructed the fundamental theory on intuitionistic fuzzy topological spaces. In this paper, we define the notions of net and filter in the intuitionistic fuzzy sense, and obtain some results on convergence, in particular we establish the correspondence between net convergence and filter converge...

By using intersection types and filter models we formulate a theory of types for a λ-calculus with record subtyping via a finitary programming logic. Types are interpreted as spaces of filters over a subset of the language of properties (the intersection types) which describes the underlying type free realizability structure. We show that such an interpretation is a PER semantics, proving that ...

We prove that the coordinate functionals associated with filter bases in Banach spaces are continuous as long underlying is analytic. This removes large-cardinal hypothesis from result established by two last-named authors (Kania and Swaczyna, 2021 [9]) at expense of reducing generality projective to In particular, we obtain a ZFC solution Kadets' problem continuity respect statistical converge...

This paper proposes a combination of contour deformation modelling in Sobolev spaces and the Condensation filter to track an object over a sequence of images. As Sobolev spaces are smoothness spaces this allows to control the smoothness of the contour deformation extending previous wavelet representations. We also introduce a probabilistic model for the wavelet deformation of the contour that i...

We build wavelet-like functions based on a parametrized family of pseudo-differential operators L~ν that satisfy some admissibility and scalability conditions. The shifts of the generalized B-splines, which are localized versions of the Green function of L~ν , generate a family of L-spline spaces. These spaces have the approximation order equal to the order of the underlying operator. A sequenc...