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Vor 4 Tagen · Studying space of linear maps and these topologies can give insight into the spaces themselves. The article operator topologies discusses topologies on spaces of linear maps between normed spaces, whereas this article discusses topologies on such spaces in the more general setting of topological vector spaces (TVSs).
Vor 2 Tagen · Investigation of the topology of spaces of measures on topological spaces became a very popular direction of research at the junction of functional analysis, measure theory and general topology after publication of the classical papers of A. D. Alexandroff [] and Yu. V. Prohorov [].
Vor einem Tag · This study proposed the concept of i-open sets, a novel class of open sets in extended intuitionistic topological spaces. Furthermore, some properties and sever
Vor einem Tag · Homotopy groups of spheres. Illustration of how a 2-sphere can be wrapped twice around another 2-sphere. Edges should be identified. In the mathematical field of algebraic topology, the homotopy groups of spheres describe how spheres of various dimensions can wrap around each other. They are examples of topological invariants, which reflect, in ...
Vor 2 Tagen · Mathematics > General Topology. Title: $Γ(X)$ as Polish Space. Authors: Edwar Alexis Ramírez Ardila (Submitted on 15 May 2024) Abstract: We will see how to define the metric $\beta$, which turns the topological space of continuous func ...
Vor 3 Tagen · Simplex. The four simplexes that can be fully represented in 3D space. In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions. The simplex is so-named because it represents the simplest possible polytope in any given dimension. For example,
Vor 2 Tagen · This is particularly surprising. We introduce the space [Math Processing Error] of saturated topological filters of [Math Processing Error] and then we prove that the set [Math Processing Error] of hyperreals modulo [Math Processing Error] can be embedded in [Math Processing Error]. It is also shown that [Math Processing Error] is quasi-compact ...
