Definitions for mathematical space
math·e·mat·i·cal space

Princeton's WordNetRate this definition:0.0 / 0 votes

1. mathematical space, topological spacenoun

   (mathematics) any set of points that satisfy a set of postulates of some kind

   "assume that the topological space is finite dimensional"

WikipediaRate this definition:0.0 / 0 votes

1. mathematical space

   In mathematics, a space is a set (sometimes called a universe) with some added structure. While modern mathematics uses many types of spaces, such as Euclidean spaces, linear spaces, topological spaces, Hilbert spaces, or probability spaces, it does not define the notion of "space" itself.A space consists of selected mathematical objects that are treated as points, and selected relationships between these points. The nature of the points can vary widely: for example, the points can be elements of a set, functions on another space, or subspaces of another space. It is the relationships that define the nature of the space. More precisely, isomorphic spaces are considered identical, where an isomorphism between two spaces is a one-to-one correspondence between their points that preserves the relationships. For example, the relationships between the points of a three-dimensional Euclidean space are uniquely determined by Euclid's axioms, and all three-dimensional Euclidean spaces are considered identical. Topological notions such as continuity have natural definitions in every Euclidean space. However, topology does not distinguish straight lines from curved lines, and the relation between Euclidean and topological spaces is thus "forgetful". Relations of this kind are treated in more detail in the Section "Types of spaces". It is not always clear whether a given mathematical object should be considered as a geometric "space", or an algebraic "structure". A general definition of "structure", proposed by Bourbaki, embraces all common types of spaces, provides a general definition of isomorphism, and justifies the transfer of properties between isomorphic structures.

ChatGPTRate this definition:0.0 / 0 votes

1. mathematical space

   A mathematical space is a set or collection with some additional structure. It can be thought of as an abstract framework upon which mathematical concepts such as geometry, topology, probability, and more can be built. The structure of a mathematical space can include different dimensions, metric distances, topologies, vectors, or other mathematical constructs. Examples of mathematical spaces include Euclidean space, vector space, and Hilbert space.

Matched Categories

1. • Set
   • Space

How to pronounce mathematical space?

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How to say mathematical space in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of mathematical space in Chaldean Numerology is: 2

2. Pythagorean Numerology

   The numerical value of mathematical space in Pythagorean Numerology is: 6

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=mathematical space
2. ^ Wikipedia
   https://en.wikipedia.org/wiki/Mathematical_Space
3. ^ ChatGPT
   https://chat.openai.com