Results 21 to 30 of about 3,998 (234)
Complex Manifolds, 2022 We give an exposition of Sullivan’s theorem on realizing rational homotopy types by closed smooth manifolds, including a discussion of the necessary rational homotopy and surgery theory, adapted to the realization problem for almost complex manifolds ...
Milivojević Aleksandar
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Gauge invariant perturbation theory via homotopy transfer
Journal of High Energy Physics, 2021 We show that the perturbative expansion of general gauge theories can be expressed in terms of gauge invariant variables to all orders in perturbations. In this we generalize techniques developed in gauge invariant cosmological perturbation theory, using
Christoph Chiaffrino +2 more
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The higher topological complexity in digital images
Applied General Topology, 2020 Y. Rudyak develops the concept of the topological complexity TC(X) defined by M. Farber. We study this notion in digital images by using the fundamental properties of the digital homotopy.
Melih İs, İsmet Karaca
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Algebraic Theories in Homotopy Theory [PDF]
The Annals of Mathematics, 2002 An algebraic theory $T$ is a category with objects $t_0,t_2...$ such that for each $n$ the object $t_n$ is an $n$-fold categorical product of $t_1$. A strict $T$-algebra is a product preserving functor $A: T\to Spaces$. Lawvere showed that for a suitable choice of T giving such an algebra amounts to providing the space $A(t_1)$ with a familiar ...
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Differential contracting homotopy in higher-spin theory
Journal of High Energy Physics, 2023 A new efficient approach to the analysis of nonlinear higher-spin equations, that treats democratically auxiliary spinor variables Z A and integration homotopy parameters in the non-linear vertices of the higher-spin theory, is developed.
M. A. Vasiliev
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A Novel Robust Topological Denoising Method Based on Homotopy Theory for Virtual Colonoscopy
Axioms, 2023 Virtual colonoscopy plays an important role in polyp detection of colorectal cancer. Noise in the colon data acquisition process can result in topological errors during surface reconstruction.
Ming Ma, Wei Chen, Na Lei, Xianfeng Gu
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T-Homotopy and Refinement of Observation—Part II: Adding New T-Homotopy Equivalences
International Journal of Mathematics and Mathematical Sciences, 2007 This paper is the second part of a series of papers about a new notion of T-homotopy of flows. It is proved that the old definition of T-homotopy equivalence does not allow the identification of the directed segment with the 3-dimensional cube.
Philippe Gaucher
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Cubical synthetic homotopy theory [PDF]
Proceedings of the 9th ACM SIGPLAN International Conference on Certified Programs and Proofs, 2020 Homotopy type theory is an extension of type theory that enables synthetic reasoning about spaces and homotopy theory. This has led to elegant computer formalizations of multiple classical results from homotopy theory. However, many proofs are still surprisingly complicated to formalize.
Mörtberg, Anders, Pujet, Loïc
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT The growing need for enhanced thermal regulation is vital in recent advancements such as biomedical engineering, polymer processing, etc. In particular, the non‐Newtonian fluid likely Casson fluid with yield stress is used in these areas because of its ability to prepare biofluids and industrial suspensions effectively.
Bhagyabati Behuria +2 more
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