Results 31 to 40 of about 216,921 (319)
Axiomatic S1 Morse–Bott theory [PDF]
Algebraic & Geometric Topology, 2020 In various situations in Floer theory, one extracts homological invariants from "Morse-Bott" data in which the "critical set" is a union of manifolds, and the moduli spaces of "flow lines" have evaluation maps taking values in the critical set. This requires a mix of analytic arguments (establishing properties of the moduli spaces and evaluation maps ...
Hutchings, Michael, Nelson, Jo
openaire +3 more sources
Hydrogel‐Based Functional Materials: Classifications, Properties, and Applications
Advanced Materials Technologies, EarlyView.Conductive hydrogels have emerged as promising materials for smart wearable devices due to their outstanding flexibility, multifunctionality, and biocompatibility. This review systematically summarizes recent progress in their design strategies, focusing on monomer systems and conductive components, and highlights key multifunctional properties such as
Zeyu Zhang, Zao Cheng, Patrizio Raffa
wiley +1 more source
Advanced Science, EarlyView.An edible and recyclable composite film composed of gelatin and activated charcoal is presented for multifunctional health and environmental monitoring. The edible films exhibit tuneable mechanical and electrical properties, along with multimodal sensing capabilities for strain, humidity, and temperature. The composite film is degradable and recyclable,
Ming Dong +6 more
wiley +1 more source
A Neophyte's Journey through Qualitative Analysis Using Morse's Cognitive Processes of Analysis
International Journal of Qualitative Methods, 2008 : In the early stages of her master's thesis the author became increasingly concerned about how she would analyze the data for her planned critical interpretive study. She felt that she needed clear direction about the process of qualitative analysis but
Rachel Walker RN, BA, BN, MN +2 more
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Discrete Morse functions for graph configuration spaces
, 2012 We present an alternative application of discrete Morse theory for two-particle graph configuration spaces. In contrast to previous constructions, which are based on discrete Morse vector fields, our approach is through Morse functions, which have a nice
A Sawicki +10 more
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Advanced Science, EarlyView.Inspired by epithelial tissue, epithelium‐like structure hydrogels are synthesized. The as‐prepared hydrogels exhibit ultrahigh toughness, ultralow hysteresis, and ultrahigh compressibility, which can be utilized as self‐powered and visual strain sensors.
Yutang Zhou +4 more
wiley +1 more source
A nerve lemma for gluing together incoherent discrete Morse functions [PDF]
, 2013 Two of the most useful tools in topological combinatorics are the nerve lemma and discrete Morse theory. In this note we introduce a theorem that interpolates between them and allows decompositions of complexes into non-contractible pieces as long as ...
Engström, Alexander
core
, 2012 We describe correlations functions of topological quantum mechanics (TQM) in terms of Morse theory. We review the basics of topological field theories and discuss geometric and algebraic interpretations of TQM.
Koroteev, P., Zayakin, A. V.
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Biodegradable Adhesive Systems for Bio‐Integrated Applications
Advanced Science, EarlyView.Biodegradable adhesives provide temporary yet reliable adhesion while degrading into safe, non‐toxic by‐products under physiological or environmental conditions. This review summarizes recent developments in physical and chemical adhesion mechanisms—including hydrogen bonding, catechol chemistry, amine‐carboxyl coupling, and emerging diazirine and urea
Won Bae Han +6 more
wiley +1 more source
Abstract and Applied Analysis, 2014 We investigate the existence and multiplicity of nontrivial solutions for a Kirchhoff type problem involving the nonlocal integrodifferential operators with homogeneous Dirichlet boundary conditions.
Yuping Cao, Chuanzhi Bai
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