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What is the definition of Topologically? 🙋

👉 In topology, a topological space is a set with a notion of "topology" that allows us to distinguish between different subsets of its elements. Topologies are fundamental in understanding and describing various spaces such as metric spaces, topological groups, and more. A topological space is said to be Hausdorff if every pair of distinct points has an open neighborhood that contains at least two points. In a Hausdorff space, each point has a neighborhood basis consisting of open sets


topologically

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What is the definition of Topological? 🙋

👉 In mathematics, topology is a branch of abstract algebra that deals with continuous functions between spaces. In other words, it studies properties and relationships among differentiable manifolds. A topological space is a set X equipped with a collection of subsets, called open sets or basic open sets, which satisfy certain axioms. These axioms define the topology on X and determine how we can distinguish between two elements in X. The most commonly used topologies are: 1.

Lebesgue measure topology


topological

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What is the definition of Topolatry? 🙋

👉 Topological analysis is a branch of mathematics that deals with the study of properties of spaces and sets that are invariant under continuous transformations, such as homeomorphisms. It encompasses many areas in mathematics, including topology, algebraic geometry, and computer science. In topology, topological spaces are defined by their topologies, which are conditions on how to define open and closed sets. Topological spaces are fundamental in various branches of mathematics, including analysis, real analysis, functional analysis, and probability theory


topolatry

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What is the definition of Topologic? 🙋

👉 "Topological" refers to a type of graph theory, which is used in mathematics and computer science. In this context, it means that graphs are ordered and connected structures. Graphs can be classified into different types based on their properties such as connectivity, adjacency, and distance between vertices, among others. The term "topological" is often used to describe a specific type of graph, or a concept related to the study of topological properties in graph theory.


topologic

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