The double suspension of a homology sphere is a topological sphere
In geometric topology, the double suspension theorem of James W. Cannon (Cannon (1979)) and Robert D. Edwards states that the double suspension S2X of a homology sphere X is a topological sphere.[1][2][3]
If X is a piecewise-linear homology sphere but not a sphere, then its double suspension S2X (with a triangulation derived by applying the double suspension operation to a triangulation of X) is an example of a triangulation of a topological sphere that is not piecewise-linear. The reason is that, unlike in piecewise-linear manifolds, the link of one of the suspension points is not a sphere.
^Robert D. Edwards, "Suspensions of homology spheres" (2006) ArXiv (reprint of private, unpublished manuscripts from the 1970's)
^Robert D. Edwards, "The topology of manifolds and cell-like maps", Proceedings of the International Congress of Mathematicians, Helsinki, 1978 ed. O. Lehto, Acad. Sci. Fenn (1980) pp 111-127.
^James W. Cannon, "Σ2 H3 = S5 / G", Rocky Mountain J. Math. (1978) 8, pp. 527-532.
and 20 Related for: Double suspension theorem information
geometric topology, the doublesuspensiontheorem of James W. Cannon (Cannon (1979)) and Robert D. Edwards states that the doublesuspension S2X of a homology...
In mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by Raoul Bott (1957, 1959)...
approximation of the square root of 2 and the statement of the Pythagorean theorem. Baudhayana's Śrauta sūtras related to performing Vedic sacrifices have...
along the diagonals is explained by the suspensiontheorem of Hans Freudenthal, which implies that the suspension homomorphism from πn+k(Sn) to πn+k+1(Sn+1)...
m_{1}-m_{2}.} Analogous to the inscribed angle theorem for circles, one has the inscribed angle theorem for parabolas: Four points P i = ( x i , y i )...
within mathematics, the acyclic models theorem can be used to show that two homology theories are isomorphic. The theorem was developed by topologists Samuel...
considered to be similar to an inverted pendulum. Many electric unicycles have suspension, either operated by air or springs. Electric unicycles come in varying...
save weight, made the car out of aluminium; the car had a torsion bar suspension, with eight torsion bars; Flaminio Bertoni, an Italian, was head of exterior...
explaining the statistical flaws in the original trial with reference to Bayes Theorem Moreton, Cole. "A broken woman who was haunted to an early grave", The...
U(n)} into U ( n + 1 ) {\displaystyle U(n+1)} induces a map from the doublesuspension Σ 2 M U ( n ) {\displaystyle \Sigma ^{2}MU(n)} to M U ( n + 1 ) {\displaystyle...
3-sphere, then the suspension of A is an example of a 4-dimensional homology manifold that is not a topological manifold. The doublesuspension of A is homeomorphic...
Freudenthal suspensiontheorem For a nondegenerately based space X, the Freudenthal suspensiontheorem says: if X is (n-1)-connected, then the suspension homomorphism...
perceived double standards by the reactions of specific coaches to NBA response relative to their past criticisms of his policies, and the suspension/termination...
number of goals scored per game in variants of football and hockey: the Pi-theorem applied to team sports". Journal of Quantitative Analysis in Sports. 17...
the Pythagorean theorem for the sides of a square: "The rope which is stretched across the diagonal of a square produces an area double the size of the...
famous periodicity theorem of Raoul Bott asserts that the K-theory of any space X is isomorphic to that of the S2X, the doublesuspension of X. In algebraic...
producers and indirect winners of consumers. Carbon trading CC–PP game Coase theorem Container deposit legislation Environmental Tax Deposit-refund system Geolibertarianism...
their leave, called euthynai. However, any citizen could request the suspension of a magistrate with due reason. A Kleroterion was used to select eligible...
test), mathematician Constantin Carathéodory (known for the Carathéodory theorems and Carathéodory conjecture), astronomer E. M. Antoniadi, archaeologists...
Global Information