Results 11 to 20 of about 933 (203)
Chain contracting homotopy and a method for relative projective resolutions
Selecciones Matemáticas, 2022 The purpose of this article is to check the main results of the method that allows the construction of a relative projective resolution of an S-module N given in appendix A of the article [1], and to show an application of this method.
Felipe Clímaco Ccolque T.
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Smooth approximations and their applications to homotopy types
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 Let $M, N$ the be smooth manifolds, $\mathcal{C}^{r}(M,N)$ the space of ${C}^{r}$ maps endowed with the corresponding weak Whitney topology, and $\mathcal{B} \subset \mathcal{C}^{r}(M,N)$ an open subset.
Олександра Олександрівна Хохлюк +1 more
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Efficient simplicial replacement of semialgebraic sets
Forum of Mathematics, Sigma, 2023 Designing an algorithm with a singly exponential complexity for computing semialgebraic triangulations of a given semialgebraic set has been a holy grail in algorithmic semialgebraic geometry. More precisely, given a description of a semialgebraic set
Saugata Basu, Negin Karisani
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Smoothing toroidal crossing spaces
Forum of Mathematics, Pi, 2021 We prove the existence of a smoothing for a toroidal crossing space under mild assumptions. By linking log structures with infinitesimal deformations, the result receives a very compact form for normal crossing spaces.
Simon Felten, Matej Filip, Helge Ruddat
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The Discrete Fundamental Group of the Associahedron [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 The associahedron is an object that has been well studied and has numerous applications, particularly in the theory of operads, the study of non-crossing partitions, lattice theory and more recently in the study of cluster algebras.
Christopher Severs, Jacob White
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Some Intercultural Roots of Purāṇic Mythological Cycle around Nārāyaṇa
Comparative Literature: East & West, 2022 In this paper, I use the structural analysis of myth proposed by C. Lévi-Strauss to show that there is a structural similarity between two mythological cycles of dying(sleeping)-and-rising god: around Ba’al and around Nārāyaṇa.
Andrew Schumann
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Tangential homotopy equivalences
Commentarii Mathematici Helvetici, 1980 Two (topological) manifolds M" and N" are called tangentially homotopy equivalent if there exists a homotopy equivalence f: (N, 3 N ) ~ (M, OM) such that f*(~'M) is stably equivalent to ~'N. Let O(m) denote the set of homeomorphisms types of manifolds which are tangentially homotopy equivalent to M. In this paper we study O(M).
Madsen, I., Taylor, L.R., Williams, B.
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Hereditary Homotopy Equivalences [PDF]
Proceedings of the American Mathematical Society, 1983 This paper introduces the notion of hereditary homotopy equivalence which provides a homotopy-theoretic reformulation of the existence of a Cohen-Lyndon basis for a group presentation.
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Coglueing homotopy equivalences [PDF]
Mathematische Zeitschrift, 1970 in which the front square is a pull-back. Then P is often called the fibre-product o f f and p, and it is also said that ~: P ~ X is induced by f from p. The map ~: Q~ P is determined by ~01 and q)2. Our object is to give conditions on the front and back squares which ensure that if q~l, q~2 and ~o are homotopy equivalences, then so also is ~. First of
Heath, Philip R., Brown, Ronald
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