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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 219 for “"homotopy"”.
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Homotopy colimits
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1997.
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Homotopy mapping spaces
… one studies the group structure of sets of homotopy classes of maps (such as the homotopy groups pin( X)) to obtain information about the spaces in question. It is also possible to place natural topologies on these groups that remember local properties ignored by the algebraic structure. …
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Projective Homotopy Classes
Made available in DSpace on 2014-12-11T18:23:34Z (GMT). No. of bitstreams: 1 7105251.pdf: 3342947 bytes, checksum: 29c280ae7041733d8c04c938ed98d2f3 (MD5) Previous issue date: 1970
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Operads and Homotopy Theory
… spaces of groups. Group operads apply to homotopy theory via their associated monads. As an application, all braid groups and symmetric groups are used to produce a free group model for the canonical stabilization of the double loop double suspension of a space. In Part II, a new idea is …
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Twisted stable homotopy theory
… two natural interpretations of a twist of stable homotopy theory. The first interpretation of a twist is as a nontrivial bundle whose fibre is the stable homotopy category. This kind of radical global twist forms the basis for twisted parametrized stable homotopy theory, which is introduced and …
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Homotopy theory and topoi
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
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Unstable chromatic homotopy theory
In this thesis, I study unstable homotopy theory with chromatic methods. Using the v, self maps provided by the Hopkins-Smith periodicity theorem, we can decompose the unstable homotopy groups of a space into its periodic parts, except some lower stems. For fixed n, using the Bousfield-Kuhn functor …
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Homotopy theory of moduli spaces
… their moduli spaces, that is their study up to homotopy or gauge equivalence. Within the three papers cited above (and thus within this thesis), three different applications of Maurer-Cartan elements are demonstrated. The first application constructs certain moduli spaces as models for unbased …
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Pl (piecewise-Linear) Local-Homotopy
Made available in DSpace on 2014-12-11T18:24:11Z (GMT). No. of bitstreams: 1 7500335.pdf: 3653658 bytes, checksum: aaf3ac000161dcc35d4e334641f76f89 (MD5) Previous issue date: 1974
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A homotopy theory for stacks
We give a homotopy theoretic characterization of stacks on a site C which allows one to think of stacks as the homotopy sheaves of groupoids on C. We use this characterization to construct a model category, that is a formal homotopy theory, in which stacks play the special role of the fibrant …
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HOMOTOPY SETOIDS AND GENERALIZED QUOTIENT COMPLETION
… Type Theory. In the first part, we introduce the homotopy setoids, considering ideas from the homotopy type theory, and we study their categorical properties. In order to do that, we use the categorical framework of the elementary doctrines introduced by Maietti and Rosolini. In this setting, we …
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Homotopy Topoi and Equivariant Elliptic Cohomology
We use the language of homotopy topoi, as developed by Lurie [17], Rezk [21], Simpson [23], and ToenVezossi [24], in order to provide a common foundation for equivariant homotopy theory and derived algebraic geometry. In particular, we obtain the categories of G-spaces, for a topological group G, …
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Dual Homotopy Invariants of G-Foliations
… the work of Heitsch in this direction. The homotopy groups (pi)(,n)(B(GAMMA)('q)) of the corresponding classifying space are shown to map onto (//R)('v(,n)), where {v(,n)} has a subsequence tending to infinity.
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Limits of Homotopy and Cohomotopy Groups
Made available in DSpace on 2014-12-05T21:50:00Z (GMT). No. of bitstreams: 1 0009122.pdf: 1498235 bytes, checksum: 03d0516b492e619edb8c32196a8906e7 (MD5) Previous issue date: 1954
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Gröbner bases in rational homotopy theory
… Eckmann-Hilton dual that characterizes the homotopy of a pullback, but the Eilenberg-Moore spectral sequence has no dual that characterizes the homotopy of a pushout. The main obstacle is the lack of an Eckmann-Hilton dual to the Kiinneth theorem with which to understand the homotopy of a …
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MIXED GRADED MODULES IN HOMOTOPY LIE THEORY
L’obiettivo principale di questa tesi è lo studio dei complessi misti graduati e del loro possibile ruolo nell’ambito della ricerca nella teoria della deformazione. In particolare, mi sono occupato della relazione tra complessi misti graduati e algebre di Lie derivate. I due contributi principali …
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Invariance of Knot Lattice Homology and Homotopy
… as the cellular homology of a doubly-filtered homotopy type, which is itself invariant. Along the way, we show that the topological link type of a generalized algebraic link determines the nested singularity type. </p>
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Cosimplicial invariants and Calculus of homotopy functors
… constructions T_n F in Goodwillie’s Calculus of homotopy functors. I give a new model which naturally gives rise to a new family of towers filtering the Taylor Tower of a functor. I also establish a surprising equivalence between the homotopy inverse limits of these towers and the homotopy …
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Norms and transfers in motivic homotopy theory
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2024-08-01
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