Existence of orbifolds II: orbifold structures

Feit, Paul

doi:10.1080/00927879408824969

Cited by 3 publications

(8 citation statements)

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“…We now cite results from [5]. Since A 0 is connected in C + , all members of Ω are equivalent under ∼.…”

Section: Lifting Faithful Functorsmentioning

confidence: 99%

“…This topology has many special properties, as abstracted in [3], [4] and [5]. The formulations in these papers are non-standard.…”

Section: Pseudogeometric Topologiesmentioning

confidence: 99%

“…Let us recall some facts and comments from [5]. Let D be a topologically componentwise category whose topology is intrinsic and flush.…”

Section: Lifting Faithful Functorsmentioning

confidence: 99%

“…Recall from [5] that, in such a category, every object with a cover by connected morphisms admits a decomposition into connected components.…”

Section: Lifting Faithful Functorsmentioning

confidence: 99%

“…Note that no member of λ is empty. On Ω, define the linking relation, as in [5]. That is, define ∼ on Ω to be the smallest equivalence relation such that r ∼ s when λ(r) × A 0 λ(s) is non-empty.…”

Section: Lifting Faithful Functorsmentioning

confidence: 99%

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Existence of orbifolds IV: Examples

Feit

1996

Communications in Algebra

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Abstract. This work concludes a series of four papers on the foundational theory of orbifolds and stacks. We apply the abstract theory, developed in its predecessors, to orbifolds derived from manifolds. Specifically, we show how the very concrete topological base spaces associated to such orbifolds can be described and manipulated in our universal language. At the same time, we interpret our many categorical axioms in several explicit contexts.

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“…We now cite results from [5]. Since A 0 is connected in C + , all members of Ω are equivalent under ∼.…”

Section: Lifting Faithful Functorsmentioning

confidence: 99%

“…This topology has many special properties, as abstracted in [3], [4] and [5]. The formulations in these papers are non-standard.…”

Section: Pseudogeometric Topologiesmentioning

confidence: 99%

“…Let us recall some facts and comments from [5]. Let D be a topologically componentwise category whose topology is intrinsic and flush.…”

Section: Lifting Faithful Functorsmentioning

confidence: 99%

“…Recall from [5] that, in such a category, every object with a cover by connected morphisms admits a decomposition into connected components.…”

Section: Lifting Faithful Functorsmentioning