Topology

James R. Munkres, T., & Hall, P. (2000). Topology. Prentice Hall.

Type

Book

Intellectual base

Textbook

Year

2000

Link

no authoritative link yet

Cited by

9 citations across 9 artifacts.

Primes

• Indexed family
  • This conserved decision sequence is the basis for Prime status.

Domain-specific

• Adherent point
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Ambient space (mathematics)
  • … observable transfers from A circle considered in the plane separates an inside from an outside, while the same abstract circle considered alone has no ambient complement. to A geometric proof states whether isotopy, distance or orientation is intrinsic to the subspace or inherited from its ambient manifold..
• Cylinder set
  • … between constitutive identity and a convenient observable transfers from In an infinite coin-toss space, the event that tosses one and three are heads is a cylinder set regardless of all other tosses. to A probability construction distinguishes the cylinder algebra from its completed or generated sigma-algebra..
• Excisive triad
  • … cover every point of X. The scope is broad within that domain but bounded by the need for A and B are subspaces of X and their X-relative interiors cover every point of X. The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• First-countable space
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Isolated point
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Locally simply connected space
  • … The circle is locally simply connected because sufficiently short open arcs are contractible, even though a loop around the entire circle is not null-homotopic. to Topological manifolds and CW complexes have locally contractible neighborhoods under their standard hypotheses and hence are locally simply connected..
• Regular space
  • … set and exterior point, two open neighborhoods, containment and disjointness, equivalent neighborhood-closure condition, T1 or Hausdorff qualification and examples and counterexamples are explicit. to An applied instance preserves the invariant under changed notation, scale, dataset, jurisdiction, or implementation..

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