Results 11 to 20 of about 1,961,324 (211)

Cellular structures in Topology [PDF]

, 1990
This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type.
Renzo Piccinini, Rudolf Fritsch, Fritsch, Rudolf, Piccinini, Renzo A., Rudolf Fritsch, et al.   +4 more
core   +1 more source

The "fundamental theorem" for the algebraic K-theory of spaces. I [PDF]

, 2001
Hüttemann T, Klein JR, Vogell W, Waldhausen F, Williams B. The "fundamental theorem" for the algebraic K-theory of spaces. I. Journal of Pure and Applied Algebra. 2001;160(1):21-52.Let X H A(X) denote the algebraic K-theory of spaces functor.
Wolrad Vogell, Waldhausen, Friedhelm, Williams, Bruce, John R Klein, Vogell, Wolrad, Thomas Hüttemann, Hüttemann, Thomas, Friedhelm Waldhausen, Klein, John R., Bruce Williams   +9 more
core   +1 more source

The "fundamental theorem" for the algebraic K-theory of spaces. II: The canonical involution [PDF]

, 2002
Hüttemann T, Klein JR, Vogell W, Waldhausen F, Williams B. The "fundamental theorem" for the algebraic K-theory of spaces. II: The canonical involution. Journal of Pure and Applied Algebra.
Waldhausen, Friedhelm, Williams, Bruce, Vogell, Wolrad, Hüttemann, Thomas, Klein, John R.   +4 more
core   +1 more source

COARSE VERSION OF HOMOTOPY THEORY (AXIOMATIC STRUCTURE) [PDF]

, 2013
In topology, homotopy theory can be put into an algebraic framework. The most complete such framework is that of a Quillen model Category [[15], [5]]. The usual class of coarse spaces appears to be too small to be a Quillen model category.
Mohamad, Nadia
core   +5 more sources

Sketches of a platypus : persistent homology and its algebraic foundations

, 2014
The subject of persistent homology has vitalized applications of algebraic topology to point cloud data and to application fields far outside the realm of pure mathematics.
Vejdemo-Johansson, Mikael, Mikael Vejdemo-Johansson, Vejdemo-Johansson, Mikael,   +2 more
core   +1 more source

Algebraic topology and related topics

, 2019
This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory.
Wu, Jie, Singh, Mahender, Song, Yongjin
core   +1 more source

Homotopy theory of modules over operads in symmetric spectra

, 2009
Operads parametrize simple and complicated algebraic structures and naturally arise in several areas of algebraic topology, homotopy theory, and homological ...
John E. Harper, Harper, John E.
core   +1 more source

Seeing the Chemistry of Biomolecular Condensates: In Situ Mapping of Composition and Water Content

Advanced Science, EarlyView.
Raman hyperspectral imaging combined with spectral phasor analysis enables a label‐free quantification of proteins, polymers and water density within individual biomolecular condensates. By transforming complex vibrational fingerprints into intuitive compositional maps, the approach reveals the high water content and structural heterogeneity of ...
E. Sabri, A. Mangiarotti, C. N. Z. Schmitt, R. Dimova   +3 more
wiley   +1 more source

Math 752 Algebraic Topology II - Winter \u2784 [PDF]

, 1984
A collection of notes for the course MAT 752, Algebraic Topology II, prepared by Professor David Handel of the Wayne State University Mathematics Department.
Handel, David
core   +1 more source

Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections

Advanced Electronic Materials, EarlyView.
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley   +1 more source