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searching for Simplicial homotopy 29 found (36 total)

Milnor's theorem on Kan complexes (310 words) [view diff] exact match in snippet view article find links to article

Vol. 35. Springer. Joyal, André; Tierney, Myles (2008). Notes on simplicial homotopy theory (PDF). CRM Barcelona. Archived from the original (PDF) on

Simplicial complex (1,988 words) [view diff] exact match in snippet view article find links to article

the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory. The purely combinatorial counterpart to a simplicial complex

Edward B. Curtis (389 words) [view diff] exact match in snippet view article find links to article

Guggenheim Fellowship and in 1972 the Leroy P. Steele Prize for his paper Simplicial homotopy theory. Curtis died in Seattle, Washington on April 2, 2024, at the

Fibrant object (172 words) [view diff] case mismatch in snippet view article find links to article

{\displaystyle c} is a cofibration. P.G. Goerss and J.F. Jardine, Simplicial Homotopy Theory, Progress in Math., Vol. 174, Birkhauser, Boston-Basel-Berlin

Homotopical algebra (227 words) [view diff] case mismatch in snippet view article find links to article

Nonabelian homological algebra Goerss, P. G.; Jardine, J. F. (1999), Simplicial Homotopy Theory, Progress in Mathematics, vol. 174, Basel, Boston, Berlin:

Quillen adjunction (326 words) [view diff] case mismatch in snippet view article find links to article

in Ho(C). Goerss, Paul G. [in German]; Jardine, John F. (1999). Simplicial Homotopy Theory. Progress in Mathematics. Vol. 174. Basel, Boston, Berlin:

Simplicial group (280 words) [view diff] case mismatch in snippet view article find links to article

1007/BF02566245, MR 0013318 Goerss, P. G.; Jardine, J. F. (1999). Simplicial Homotopy Theory. Progress in Mathematics. Vol. 174. Basel, Boston, Berlin:

Simplex category (515 words) [view diff] case mismatch in snippet view article find links to article

Abstract simplicial complex Goerss, Paul G.; Jardine, John F. (1999). Simplicial Homotopy Theory. Progress in Mathematics. Vol. 174. Basel–Boston–Berlin: Birkhäuser

N-skeleton (609 words) [view diff] case mismatch in snippet view article find links to article

ISBN 0-521-81496-0 (Page 29) Goerss, P. G.; Jardine, J. F. (1999), Simplicial Homotopy Theory, Progress in Mathematics, vol. 174, Basel, Boston, Berlin:

Homotopy theory (3,822 words) [view diff] exact match in snippet view article find links to article

homotopy theory p-adic homotopy theory equivariant homotopy theory simplicial homotopy theory One of the basic questions in the foundations of homotopy

Freudenthal suspension theorem (737 words) [view diff] case mismatch in snippet view article find links to article

Compositio Mathematica, 5: 299–314. Goerss, P. G.; Jardine, J. F. (1999), Simplicial Homotopy Theory, Progress in Mathematics, vol. 174, Basel-Boston-Berlin: Birkhäuser

André Joyal (702 words) [view diff] exact match in snippet view article find links to article

viii+123 pp. ISBN 0-521-55830-1 André Joyal, Myles Tierney, Notes on simplicial homotopy theory, CRM Barcelona, Jan 2008 pdf André Joyal, Disks, duality and

Hypercovering (575 words) [view diff] exact match in snippet view article find links to article

category H R ( X ) {\displaystyle HR(X)} of hypercoverings modulo simplicial homotopy is cofiltering, and thus gives a pro-object in the homotopy category

Simplicially enriched category (181 words) [view diff] case mismatch in snippet view article find links to article

generalizes the nerve of a category. Goerss, Paul; Jardine, John (2009), Simplicial Homotopy Theory, Progress in Mathematics, vol. 174, Birkhäuser Basel, ISBN 978-3-7643-6064-1

Algebraic topology (2,151 words) [view diff] exact match in snippet view article find links to article

the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory. The purely combinatorial counterpart to a simplicial complex

Hurewicz theorem (1,305 words) [view diff] case mismatch in snippet view article find links to article

ISBN 978-0-521-79160-1 Goerss, Paul G.; Jardine, John Frederick (1999), Simplicial Homotopy Theory, Progress in Mathematics, vol. 174, Basel, Boston, Berlin:

Pierre Gabriel (855 words) [view diff] exact match in snippet view article find links to article

categories and applied it to homotopy theory, thereby axiomatizing simplicial homotopy theory. The thesis also contains an early "reconstruction theorem"

Discrete geometry (1,575 words) [view diff] exact match in snippet view article find links to article

the more abstract notion of a simplicial set appearing in modern simplicial homotopy theory. The purely combinatorial counterpart to a simplicial complex

Category of elements (2,846 words) [view diff] exact match in snippet view article find links to article

The category of elements of a simplicial set is fundamental in simplicial homotopy theory, a branch of algebraic topology. More generally, the category

Minimal fibration (277 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-540-03914-3, MR 0223432 Joyal, André; Tierney, Myles (2008). "Notes on simplicial homotopy theory" (PDF). Barratt, Michael G., and J. C. Moore. "On semisimplicial

Timeline of category theory and related mathematics (273 words) [view diff] exact match in snippet view article find links to article

hyperhomology appear in this book for the first time. 1956 Daniel Kan Simplicial homotopy theory also called categorical homotopy theory: A homotopy theory

Ken Brown's lemma (655 words) [view diff] exact match in snippet view article find links to article

ISBN 978-1108473200. Joyal, André; Tierney, Myles (2008). "Notes on simplicial homotopy theory" (PDF). "factorization lemma". ncatlab.org. https://math.stackexchange

N-group (category theory) (2,040 words) [view diff] exact match in snippet view article

1016/0022-4049(84)90034-3. ISSN 0022-4049. Goerss, Paul Gregory. (2009). Simplicial homotopy theory. Jardine, J. F., 1951-. Basel: Birkhäuser Verlag. ISBN 978-3-0346-0189-4

Subdivision (simplicial set) (977 words) [view diff] exact match in snippet view article

(simplicial complex) Goerss, Paul; Jardine, John Frederick (1999). Simplicial homotopy theory. Modern Birkhäuser Classics. doi:10.1007/978-3-0346-0189-4

Serre spectral sequence (2,641 words) [view diff] exact match in snippet view article find links to article

Inventiones Mathematicae 3 (1967), 172–178, EuDML. The case of simplicial sets is treated in Paul Goerss, Rick Jardine, Simplicial homotopy theory, Birkhäuser

A¹ homotopy theory (2,831 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \Delta ^{\bullet }([n])=\Delta ^{n}} . Then using abstract simplicial homotopy theory, we get the simplicial spheres S n = Δ n / ∂ Δ n {\displaystyle

Leroy P. Steele Prize (2,239 words) [view diff] exact match in snippet view article find links to article

Mathematical Society, 1972. 1972 Edward B. Curtis for his paper, Simplicial homotopy theory, Advances in Mathematics, volume 6 (1971), pp. 107–209. 1972

Extension (simplicial set) (1,602 words) [view diff] exact match in snippet view article

fibrant replacement. Goerss, Paul; Jardine, John Frederick (1999). Simplicial homotopy theory. Modern Birkhäuser Classics. doi:10.1007/978-3-0346-0189-4

Fundamental group (8,642 words) [view diff] case mismatch in snippet view article find links to article

Springer, ISBN 9780387943275 Goerss, Paul G.; Jardine, John F. (1999), Simplicial Homotopy Theory, Progress in Mathematics, vol. 174, Basel, Boston, Berlin: