Analytic And Geometric Study Of Stratified Spaces: Contributions To Analytic And Geometric Aspects (lecture Notes In Mathematics)
by Markus J. Pflaum /
2001 / English / PDF
13.5 MB Download
stratified collectionsofdiffer- inamore intuitive are Expressed
terminology, spaces in This characteristic tiable manifoldswhich
are an glued together appropriate way. of manifolds" feature
becomes in the name or original "complexes [188] apparent of
"manifold collections" See. HASSLERWHITNEY fora the by predecessor
[189, 11) of stratified WHITNEY's article from the 1947 modern
notion a [188] space. year the birth date of abstract of
stratifications. Nev- can be as an theory regarded have considered
before 1947 which mathematicians nowadays theless, already topics,
of stratified like for at theend ofthe are treated within the
theory spaces, example to when nineteenth when or century,
algebraic geometers began study singularities and of varieties The
interest in simplicialcomplexes triangulations algebraic began. of
manifolds" in for the introduction of the so-called was reason
"complexes [188] bounded submanifold of the observation that the of
a some boundary noncompact lower dimensional Euclidean oftenbe in
can decomposed locally finitelymany space inmodern manifolds. This
ofviewhasbeentaken point again geometric analysis up and for
instance forms the basis of the of a or a concept
manifold-with-boundary manifold-with-corners for MELROSE or
RENETHOM example [126, 127] 1.1.19). (see noticed in his work of
1955 that his iterated sets of of asmooth singularities [1661 f R'
R' manifolds for certain functions and a : -4 are generic comprise
mapping collection" inthe ofWHITNEY WHITNEY 1957in "manifold sense
proved [190] [1891.
stratified collectionsofdiffer- inamore intuitive are Expressed
terminology, spaces in This characteristic tiable manifoldswhich
are an glued together appropriate way. of manifolds" feature
becomes in the name or original "complexes [188] apparent of
"manifold collections" See. HASSLERWHITNEY fora the by predecessor
[189, 11) of stratified WHITNEY's article from the 1947 modern
notion a [188] space. year the birth date of abstract of
stratifications. Nev- can be as an theory regarded have considered
before 1947 which mathematicians nowadays theless, already topics,
of stratified like for at theend ofthe are treated within the
theory spaces, example to when nineteenth when or century,
algebraic geometers began study singularities and of varieties The
interest in simplicialcomplexes triangulations algebraic began. of
manifolds" in for the introduction of the so-called was reason
"complexes [188] bounded submanifold of the observation that the of
a some boundary noncompact lower dimensional Euclidean oftenbe in
can decomposed locally finitelymany space inmodern manifolds. This
ofviewhasbeentaken point again geometric analysis up and for
instance forms the basis of the of a or a concept
manifold-with-boundary manifold-with-corners for MELROSE or
RENETHOM example [126, 127] 1.1.19). (see noticed in his work of
1955 that his iterated sets of of asmooth singularities [1661 f R'
R' manifolds for certain functions and a : -4 are generic comprise
mapping collection" inthe ofWHITNEY WHITNEY 1957in "manifold sense
proved [190] [1891.