Zobrazeno 1 - 10
of 85
pro vyhledávání: '"Landweber, Peter"'
Publikováno v:
Amer. Math. Monthly, 123:4 (2016)
We present a surprisingly short proof that for any continuous map $f : \mathbb{R}^n \rightarrow \mathbb{R}^m$, if $n>m$, then there exists no bound on the diameter of fibers of $f$. Moreover, we show that when $m=1$, the union of small fibers of $f$
Externí odkaz:
http://arxiv.org/abs/1503.07597
Autor:
Jacobowitz, Howard, Landweber, Peter
We show that the vanishing of the higher dimensional homology groups of a manifold ensures that every almost CR structure of codimension $k$ may be homotoped to a CR structure. This result is proved by adapting a method due to Haefliger used to study
Externí odkaz:
http://arxiv.org/abs/1405.1746
Autor:
Jacobowitz, Howard, Landweber, Peter
We consider two classes of smooth maps M^n\to C ^N. Definition. A map f:M^n\to C^N is called an independent map if df_1(p)\wedge...\wedge df_N (p)\neq 0. We are interested in the optimal value of N for all manifolds of dimension n for independent map
Externí odkaz:
http://arxiv.org/abs/1302.2541
The optimal target dimensions are determined for totally real immersions and for independent mappings into complex affine spaces. Our arguments are similar to those given by Forster, but we use orientable manifolds as far as possible and so are able
Externí odkaz:
http://arxiv.org/abs/1203.6871
We compute the integral cohomology ring of configuration spaces of two points on a given real projective space. Apart from an integral class, the resulting ring is a quotient of the known integral cohomology of the dihedral group of order 8 (in the c
Externí odkaz:
http://arxiv.org/abs/1106.4593
Autor:
Karasev, Roman, Landweber, Peter
Publikováno v:
Algebraic & Geometric Topology 12:1 (2012), 75-94
We study questions of the following type: Can one assign continuously and $\Sigma_m$-equivariantly to any $m$-tuple of distinct points on the sphere $S^n$ a multipath in $S^n$ spanning these points? A \emph{multipath} is a continuous map of the wedge
Externí odkaz:
http://arxiv.org/abs/1106.1549
Autor:
Gonzalez, Jesus, Landweber, Peter
We compute the integral homology and cohomology groups of configuration spaces of two distinct points on a given real projective space. The explicit answer is related to the (known multiplicative structure in the) integral cohomology---with simple an
Externí odkaz:
http://arxiv.org/abs/1004.0746
Autor:
Landweber, Peter S.
A simple counterexample is presented to a proposition which is used in the arguments given by P. M. Akhmet'ev in his work on the Hopf invariant and Kervaire invariant. The counterexample makes use of the $K$-theory of the quotient of the 7-sphere by
Externí odkaz:
http://arxiv.org/abs/1001.4760
Using the $ku$- and $BP$-theoretic versions of Astey's cobordism obstruction for the existence of smooth Euclidean embeddings of stably almost complex manifolds, we prove that, for $e$ greater than or equal to $\alpha(n)$--the number of ones in the d
Externí odkaz:
http://arxiv.org/abs/0906.1001
Autor:
Gonzalez, Jesus, Landweber, Peter
Publikováno v:
Algebr. Geom. Topol. 9 (2009) 473-494
For real projective spaces, (a) the Euclidean immersion dimension, (b) the existence of axial maps, and (c) the topological complexity are known to be three facets of the same problem. But when it comes to embedding dimension, the classical work of B
Externí odkaz:
http://arxiv.org/abs/0809.0816