General Topology

Kelley, J. L. (1975). General Topology. Springer.

Type

Book

Intellectual base

Review or monograph

Year

1975

Link

https://link.springer.com/book/9780387901251

Cited from

mathematics

Cited by

4 citations across 4 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Topology
  • … $T_3$ (regular), $T_4$ (normal, the assumption that supports Urysohn's lemma and the Tietze extension theorem), and the metrisability axioms (Urysohn's metrisation theorem; Nagata-Smirnov-Bing) that determine when a topology arises from a metric, all developed canonically by Kelley (1955) in General Topology.

    This sourceCanonical reference on point-set topology including the separation axioms ($T_0$ through $T_4$), Urysohn's lemma, the Tietze extension theorem, and the metrisation theorems.

Domain-specific

• Completely metrizable space
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Sorgenfrey plane
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Uniform space
  • Uniform space is a set equipped with a uniform structure that formalizes relative closeness and supports uniform continuity, convergence, and completeness without a chosen metric.

Verification

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