Freudenthal suspension theorem
In mathematics, and specifically in the field of homotopy theory, the Freudenthal suspension theorem is the fundamental result leading to the concept of stabilization of homotopy groups and ultimately to stable homotopy theory. It explains the behavior of simultaneously taking suspensions and increasing the index of the homotopy groups of the space in question. It was proved in 1937 by Hans Freudenthal. The theorem is a corollary of the homotopy excision theorem.
Wikipage disambiguates
Wikipage redirect
primaryTopic
Freudenthal suspension theorem
In mathematics, and specifically in the field of homotopy theory, the Freudenthal suspension theorem is the fundamental result leading to the concept of stabilization of homotopy groups and ultimately to stable homotopy theory. It explains the behavior of simultaneously taking suspensions and increasing the index of the homotopy groups of the space in question. It was proved in 1937 by Hans Freudenthal. The theorem is a corollary of the homotopy excision theorem.
has abstract
Der Freudenthal'sche Einhängun ...... n Mengen der Homotopieklassen.
@de
In mathematics, and specifical ...... the homotopy excision theorem.
@en
Le théorème de suspension de F ...... ie de l'homotopie stable (en).
@fr
在數學的同倫論中，弗勒登塔爾懸垂定理是一條基礎定理，引發出穩 ...... 7年證明，說明了把一個空間取懸垂時，這個空間的同倫群的表現。
@zh
Link from a Wikipage to an external page
Wikipage page ID
Wikipage revision ID
727,030,707
hypernym
comment
Der Freudenthal'sche Einhängun ...... n Mengen der Homotopieklassen.
@de
In mathematics, and specifical ...... the homotopy excision theorem.
@en
Le théorème de suspension de F ...... ie de l'homotopie stable (en).
@fr
在數學的同倫論中，弗勒登塔爾懸垂定理是一條基礎定理，引發出穩 ...... 7年證明，說明了把一個空間取懸垂時，這個空間的同倫群的表現。
@zh
label
Freudenthal suspension theorem
@en
Freudenthalscher Einhängungssatz
@de
Théorème de suspension de Freudenthal
@fr
弗勒登塔爾懸垂定理
@zh