The localization sequence for the algebraic K-theory of topological K-theory

We prove a conjecture of Rognes by establishing a localization cofiber sequence of spectra, K(Z) to K(ku) to K(KU) to Sigma K(Z), for the algebraic K-theory of topological K-theory. We deduce the existence of this sequence as a consequence of a devissage theorem identifying the K-theory of the Waldhausen category of Postnikov towers of modules over a connective A-infinity ring spectrum R with the Quillen K-theory of the abelian category of finitely generated pi_0(R)-modules.Comment: Updated final version. Small change in definition of S' construction and correction to the proof of 2.

Ursinus College Alumni Journal, Winter 1942

Current comment: Loyalty fund • President\u27s letter • College is recipient of new hymnals for chapel • Opening of 73rd academic year: Student enrollment above last year\u27s figures; Pfahler Hall dedicated at annual Founders Day • Chester Robbins gets high position in New Jersey • Athletics for all is aim of war training program • Hendricks and Kepler pass away: Loyal Ursinus alumni • Some of our alumni in U. S. N. • Ursinus graduates elected to legislative posts • Ursinusites, at home and abroad • Alumni serving with the colors • Alumni Association officershttps://digitalcommons.ursinus.edu/alumnijournal/1016/thumbnail.jp

Ursinus College Alumni Journal, Summer 1942

Current comment: Ursinus at war; Lieutenant Aram Y. Parunak, U. S. N., \u2733; Prospective students and the Selective Service • President\u27s page • 72nd annual commencement • Miss Ermold retires • Summer session draws larger registration • New Selective Service deferment for students • Dr. Reginald Sibbald passes away • Dr. Yost mourned by grads and students • Ursinus director passes • Our alumni secretary\u27s page • New changes in administrative posts • Local alumni group meetings • Report on your funds • Ursinusites, at home and abroad • Our service men • 1942 varsity football schedulehttps://digitalcommons.ursinus.edu/alumnijournal/1015/thumbnail.jp

A generalization of Hausdorff dimension applied to Hilbert cubes and Wasserstein spaces

A Wasserstein spaces is a metric space of sufficiently concentrated probability measures over a general metric space. The main goal of this paper is to estimate the largeness of Wasserstein spaces, in a sense to be precised. In a first part, we generalize the Hausdorff dimension by defining a family of bi-Lipschitz invariants, called critical parameters, that measure largeness for infinite-dimensional metric spaces. Basic properties of these invariants are given, and they are estimated for a naturel set of spaces generalizing the usual Hilbert cube. In a second part, we estimate the value of these new invariants in the case of some Wasserstein spaces, as well as the dynamical complexity of push-forward maps. The lower bounds rely on several embedding results; for example we provide bi-Lipschitz embeddings of all powers of any space inside its Wasserstein space, with uniform bound and we prove that the Wasserstein space of a d-manifold has "power-exponential" critical parameter equal to d.Comment: v2 Largely expanded version, as reflected by the change of title; all part I on generalized Hausdorff dimension is new, as well as the embedding of Hilbert cubes into Wasserstein spaces. v3 modified according to the referee final remarks ; to appear in Journal of Topology and Analysi

Distinct Signatures For Coulomb Blockade and Aharonov-Bohm Interference in Electronic Fabry-Perot Interferometers

Two distinct types of magnetoresistance oscillations are observed in two electronic Fabry-Perot interferometers of different sizes in the integer quantum Hall regime. Measuring these oscillations as a function of magnetic field and gate voltages, we observe three signatures that distinguish the two types. The oscillations observed in a 2.0 square micron device are understood to arise from the Coulomb blockade mechanism, and those observed in an 18 square micron device from the Aharonov-Bohm mechanism. This work clarifies, provides ways to distinguish, and demonstrates control over, these distinct physical origins of resistance oscillations seen in electronic Fabry-Perot interferometers.Comment: related papers at http://marcuslab.harvard.ed

The Answer is Blowing in the Wind

A 'News & Views' article -- no abstract