Compact space and Non-standard analysis

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Compact space and Non-standard analysis

Compact space vs. Non-standard analysis

In mathematics, and more specifically in general topology, compactness is a property that generalizes the notion of a subset of Euclidean space being closed (that is, containing all its limit points) and bounded (that is, having all its points lie within some fixed distance of each other). The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers.

Similarities between Compact space and Non-standard analysis

Compact space and Non-standard analysis have 5 things in common (in Unionpedia): Finite intersection property, Hilbert space, Hyperreal number, Infinitesimal, Ultrafilter.

Finite intersection property

In general topology, a branch of mathematics, a collection A of subsets of a set X is said to have the finite intersection property (FIP) if the intersection over any finite subcollection of A is nonempty.

Compact space and Finite intersection property · Finite intersection property and Non-standard analysis · See more »

Hilbert space

The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space.

Compact space and Hilbert space · Hilbert space and Non-standard analysis · See more »

Hyperreal number

The system of hyperreal numbers is a way of treating infinite and infinitesimal quantities.

Compact space and Hyperreal number · Hyperreal number and Non-standard analysis · See more »

Infinitesimal

In mathematics, infinitesimals are things so small that there is no way to measure them.

Compact space and Infinitesimal · Infinitesimal and Non-standard analysis · See more »

Ultrafilter

In the mathematical field of set theory, an ultrafilter on a given partially ordered set (poset) P is a maximal filter on P, that is, a filter on P that cannot be enlarged.

Compact space and Ultrafilter · Non-standard analysis and Ultrafilter · See more »

The list above answers the following questions

What Compact space and Non-standard analysis have in common
What are the similarities between Compact space and Non-standard analysis

Compact space and Non-standard analysis Comparison

Compact space has 146 relations, while Non-standard analysis has 80. As they have in common 5, the Jaccard index is 2.21% = 5 / (146 + 80).

References

This article shows the relationship between Compact space and Non-standard analysis. To access each article from which the information was extracted, please visit:

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