Homotopy Theory of the Suspensions of the Projective Plane PDF Download
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Author: Jie Wu
Publisher: American Mathematical Soc.
ISBN: 0821832395
Category : Mathematics
Languages : en
Pages : 148
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Book Description
Investigates the homotopy theory of the suspensions of the real projective plane. This book computes the homotopy groups up to certain range. It also studies the decompositions of the self smashes and the loop spaces with some applications to the Stiefel manifolds.
Author: Jie Wu
Publisher: American Mathematical Soc.
ISBN: 0821832395
Category : Mathematics
Languages : en
Pages : 148
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Book Description
Investigates the homotopy theory of the suspensions of the real projective plane. This book computes the homotopy groups up to certain range. It also studies the decompositions of the self smashes and the loop spaces with some applications to the Stiefel manifolds.
Author: Shigenori Matsumoto
Publisher: American Mathematical Soc.
ISBN: 0821832573
Category : Mathematics
Languages : en
Pages : 106
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Book Description
Considers nonsingular flows on closed 3-manifolds which are transversely modeled on the real affine geometry of the plane. This book obtains classification results for three types of flows.
Author: William Norrie Everitt
Publisher: American Mathematical Soc.
ISBN: 0821832352
Category : Mathematics
Languages : en
Pages : 130
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Book Description
This investigation introduces a new description and classification for the set of all self-adjoint operators (not just those defined by differential boundary conditions) which are generated by a linear elliptic partial differential expression $A(\mathbf{x}, D)=\sum_{0\, \leq\, \left s\right \, \leq\,2m}a_{s} (\mathbf{x})D DEGREES{s}\;\text{for all}\;\mathbf{x}\in\Omega$ in a region $\Omega$, with compact closure $\overline{\Omega}$ and $C DEGREES{\infty }$-smooth boundary $\partial\Omega$, in Euclidean space $\mathbb{E} DEGREES{r}$ $(r\geq2).$ The order $2m\geq2$ and the spatial dimensio
Author: Katrina Barron
Publisher: American Mathematical Soc.
ISBN: 0821832603
Category : Mathematics
Languages : en
Pages : 150
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Book Description
Within the framework of complex supergeometry and motivated by two-dimensional genus-zero holomorphic $N = 1$ superconformal field theory, this book defines the moduli space of $N=1$ genus-zero super-Riemann surfaces with oriented and ordered half-infinite tubes, modulo superconformal equivalence.
Author: Kai Behrend
Publisher: American Mathematical Soc.
ISBN: 0821829297
Category : Mathematics
Languages : en
Pages : 110
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Book Description
This text is intended for graduate students and research mathematicians interested in algebraic geometry, category theory and homological algebra.
Author: Robert M. Guralnick
Publisher: American Mathematical Soc.
ISBN: 0821832883
Category : Mathematics
Languages : en
Pages : 96
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Book Description
Investigates the analogous question for rational functions. This book describes the Galois theoretic translation, based on Chebotarev's density theorem, leads to a certain property of permutation groups, called exceptionality.
Author: Pierre Lochak
Publisher: American Mathematical Soc.
ISBN: 0821832689
Category : Mathematics
Languages : en
Pages : 162
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Book Description
Presents the problem of the splitting of invariant manifolds in multidimensional Hamiltonian systems, stressing the canonical features of the problem. This book offers introduction of a canonically invariant scheme for the computation of the splitting matrix.
Author: Valentin Poenaru
Publisher: American Mathematical Soc.
ISBN: 0821834606
Category : Mathematics
Languages : en
Pages : 104
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Book Description
Shows that at the cost of replacing $V DEGREES3$ by $V_h DEGREES3 = \{V DEGREES3$ with very many holes $\}$, we can always find representations $X DEGREES2 \stackrel {f} {\rightarrow} V DEGREES3$ with $X DEGREES2$ locally finite and almost-arborescent, with $\Psi (f)=\Phi (f)$, and with the ope
Author: U. Haagerup
Publisher: American Mathematical Soc.
ISBN: 0821832719
Category : Mathematics
Languages : en
Pages : 82
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Book Description
Let $\mathcal N$ and $\mathcal M$ be von Neumann algebras. It is proved that $L DEGREESp(\mathcal N)$ does not linearly topologically embed in $L DEGREESp(\mathcal M)$ for $\mathcal N$ infinite, $\mathcal M$ finit
Author: Hansjörg Geiges
Publisher: American Mathematical Soc.
ISBN: 0821833154
Category : Mathematics
Languages : en
Pages : 74
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Book Description
The notion of homotopy principle or $h$-principle is one of the key concepts in an elegant language developed by Gromov to deal with a host of questions in geometry and topology. Roughly speaking, for a certain differential geometric problem to satisfy the $h$-principle is equivalent to saying that a solution to the problem exists whenever certain obvious topological obstructions vanish. The foundational examples for applications of Gromov's ideas include (i) Hirsch-Smale immersion theory, (ii) Nash-Kuiper $C^1$-isometric immersion theory, (iii) existence of symplectic and contact structures on open manifolds. Gromov has developed several powerful methods that allow one to prove $h$-principles. These notes, based on lectures given in the Graduiertenkolleg of Leipzig University, present two such methods which are strong enough to deal with applications (i) and (iii).
