Heine–Borel theorem and Topologist's sine curve

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

Difference between Heine–Borel theorem and Topologist's sine curve

Heine–Borel theorem vs. Topologist's sine curve

In real analysis the Heine–Borel theorem, named after Eduard Heine and Émile Borel, states: For a subset S of Euclidean space Rn, the following two statements are equivalent. In the branch of mathematics known as topology, the topologist's sine curve or Warsaw sine curve is a topological space with several interesting properties that make it an important textbook example.

Similarities between Heine–Borel theorem and Topologist's sine curve

Heine–Borel theorem and Topologist's sine curve have 3 things in common (in Unionpedia): Compact space, Limit point, Locally compact space.

Compact space

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).

Compact space and Heine–Borel theorem · Compact space and Topologist's sine curve · See more »

Limit point

In mathematics, a limit point (or cluster point or accumulation point) of a set S in a topological space X is a point x that can be "approximated" by points of S in the sense that every neighbourhood of x with respect to the topology on X also contains a point of S other than x itself.

Heine–Borel theorem and Limit point · Limit point and Topologist's sine curve · See more »

Locally compact space

In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space.

Heine–Borel theorem and Locally compact space · Locally compact space and Topologist's sine curve · See more »

The list above answers the following questions

What Heine–Borel theorem and Topologist's sine curve have in common
What are the similarities between Heine–Borel theorem and Topologist's sine curve

Heine–Borel theorem and Topologist's sine curve Comparison

Heine–Borel theorem has 31 relations, while Topologist's sine curve has 18. As they have in common 3, the Jaccard index is 6.12% = 3 / (31 + 18).

References

This article shows the relationship between Heine–Borel theorem and Topologist's sine curve. To access each article from which the information was extracted, please visit:

Unionpedia is a concept map or semantic network organized like an encyclopedia – dictionary. It gives a brief definition of each concept and its relationships.

This is a giant online mental map that serves as a basis for concept diagrams. It's free to use and each article or document can be downloaded. It's a tool, resource or reference for study, research, education, learning or teaching, that can be used by teachers, educators, pupils or students; for the academic world: for school, primary, secondary, high school, middle, technical degree, college, university, undergraduate, master's or doctoral degrees; for papers, reports, projects, ideas, documentation, surveys, summaries, or thesis. Here is the definition, explanation, description, or the meaning of each significant on which you need information, and a list of their associated concepts as a glossary. Available in English, Spanish, Portuguese, Japanese, Chinese, French, German, Italian, Polish, Dutch, Russian, Arabic, Hindi, Swedish, Ukrainian, Hungarian, Catalan, Czech, Hebrew, Danish, Finnish, Indonesian, Norwegian, Romanian, Turkish, Vietnamese, Korean, Thai, Greek, Bulgarian, Croatian, Slovak, Lithuanian, Filipino, Latvian, Estonian and Slovenian. More languages soon.

All the information was extracted from Wikipedia, and it's available under the Creative Commons Attribution-ShareAlike License.

Unionpedia is not endorsed by or affiliated with the Wikimedia Foundation.

Google Play, Android and the Google Play logo are trademarks of Google Inc.