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Longer titles found: Perfect obstruction theory (view)

searching for Obstruction theory 12 found (36 total)

Homotopy theory (1,180 words) [view diff] no match in snippet view article find links to article

In mathematics, homotopy theory is a systematic study of situations in which maps can come with homotopies between them. It originated as a topic in algebraic

James Munkres (253 words) [view diff] exact match in snippet view article find links to article

assignment algorithm. A significant contribution in topology is his obstruction theory for the smoothing of homeomorphisms. These developments establish

Secondary cohomology operation (279 words) [view diff] exact match in snippet view article find links to article

cohomology operations still see modern usage, for example, in the obstruction theory of commutative ring spectra. Examples of secondary and higher cohomology

Behrend function (179 words) [view diff] exact match in snippet view article find links to article

X is a quasi-projective proper moduli scheme carrying a symmetric obstruction theory, then the weighted Euler characteristic χ ( X , ν X ) = ∑ n ∈ Z n

Jenny Baglivo (417 words) [view diff] case mismatch in snippet view article find links to article

specializing in algebraic topology. Her dissertation, Equivariant Wall Obstruction Theory, concerned Wall's finiteness obstruction, and was supervised by Douglas

Richard Thomas (mathematician) (1,098 words) [view diff] exact match in snippet view article

S2CID 54186798. Huybrechts, Daniel; Thomas, Richard P (2009). "Deformation-obstruction theory for complexes via Atiyah and Kodaira–Spencer classes". Mathematische

Michael J. Hopkins (1,012 words) [view diff] exact match in snippet view article find links to article

K-theories. Together with Paul Goerss, Hopkins later set up a systematic obstruction theory for refinements to E ∞ {\displaystyle E_{\infty }} -ring spectra.

Homotopy principle (1,721 words) [view diff] exact match in snippet view article find links to article

non-holonomic solution is much easier to handle and can be addressed with the obstruction theory for topological bundles. Many underdetermined partial differential

Donaldson–Thomas theory (1,161 words) [view diff] exact match in snippet view article find links to article

{\text{Ext}}^{1}({\mathcal {E}},{\mathcal {E}})^{\vee }} which gives a perfect obstruction theory of dimension 0. In particular, this implies the associated virtual

Highly structured ring spectrum (2,290 words) [view diff] exact match in snippet view article find links to article

-refinements of multiplicative cohomology theories is Goerss–Hopkins obstruction theory. It succeeded in finding E ∞ {\displaystyle E_{\infty }} -ring structures

List of University of Michigan alumni (24,232 words) [view diff] exact match in snippet view article find links to article

contributions to the development of the Munkres assignment algorithm and his obstruction theory for the smoothing of homeomorphisms; author of classic textbook Topology

Surgery exact sequence (3,121 words) [view diff] exact match in snippet view article find links to article

sequence. In both cases the answer is given in the form of a two-stage obstruction theory. The existence question. Let X {\displaystyle X} be a finite Poincaré