Differential Topology

Hirsch, M. W. (1976). Differential Topology. Springer.

Type

Book

Intellectual base

Review or monograph

Year

1976

DOI

10.1007/978-1-4684-9449-5

ISBN

9781468494518

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-1-4684-9449-5

Cited by

3 citations across 2 artifacts.

Domain-specific

• Collar neighbourhood
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
  • … product interval convention, embedding or diffeomorphism, boundary-fixing condition, image neighborhood, regularity, global versus local collar, and existence hypotheses are explicit. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..
• Local diffeomorphism
  • … identity and a convenient observable transfers from The exponential map t↦e^{it} from the real line to the circle is locally a diffeomorphism but is not globally injective. to A smooth covering map between smooth manifolds is locally a diffeomorphism when its local sheets and smooth structures are compatible..

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Not recorded. Neither this nor any other of the 3 citations of this work carries a recorded support check.

Was it audited? Yes. A second, independent pass read the citation against the article text and recorded a verdict.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

See how references were verified.

Registry ID ref:d5a549b68e5d · see in the full table