2011, Mathematical surveys and monographs, ISBN 9780821805015, Volume 179, xii, 364

Book

2015, Mathematical surveys and monographs, ISBN 1470421976, Volume 203, xxxi, 311

.... Variants of PROPs are important in several mathematical fields, including string topology, topological conformal field theory, homotopical algebra, deformation theory, Poisson geometry, and graph cohomology...

Categories (Mathematics) | Modules (Algebra) | Permutation groups

Categories (Mathematics) | Modules (Algebra) | Permutation groups

Book

2017, Mathematical surveys and monographs, ISBN 9781470434823, Volume 217, 2 volumes

Book

Homology, homotopy, and applications, ISSN 1532-0073, 1999

Journal

2011, Graduate studies in mathematics, ISBN 9780821852866, Volume 127, xxi, 835

Book

2017, Volume 682

Conference Proceeding

2018, London Mathematical Society lecture note series, ISBN 1316600904, Volume 446., x, 179 pages

This volume presents the current state of knowledge in all aspects of two-dimensional homotopy theory...

Low-dimensional topology | Combinatorial group theory | Homotopy theory

Low-dimensional topology | Combinatorial group theory | Homotopy theory

Book

Advances in mathematics (New York. 1965), ISSN 0001-8708, 01/2019, Volume 342, pp. 67 - 115

.... A subset of these families is detected by the C2-fixed points of Real Johnson–Wilson theory ER(n), depending on n. In the proof, we establish an isomorphism between the slice spectral sequence and the C2-equivariant May spectral sequence of BPR.

Real Johnson–Wilson theory | [formula omitted]-equivariant May spectral sequence | Hurewicz image | Real bordism theory | Slice spectral sequence | equivariant May spectral sequence | MATHEMATICS | ELEMENTS | C-2-equivariant May spectral sequence | NONIMMERSIONS | Real Johnson-Wilson theory | KERVAIRE INVARIANT | MANIFOLDS | HOMOTOPY

Real Johnson–Wilson theory | [formula omitted]-equivariant May spectral sequence | Hurewicz image | Real bordism theory | Slice spectral sequence | equivariant May spectral sequence | MATHEMATICS | ELEMENTS | C-2-equivariant May spectral sequence | NONIMMERSIONS | Real Johnson-Wilson theory | KERVAIRE INVARIANT | MANIFOLDS | HOMOTOPY

Journal Article

01/1953, ISBN 0521052653

Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology...

eBook

2012, New mathematical monographs, ISBN 9780521516952, Volume 19, xviii, 634

"The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory...

Categories (Mathematics) | Homotopy theory | Category Theory | Algebraic Geometry | Mathematics | Algebraic Topology

Categories (Mathematics) | Homotopy theory | Category Theory | Algebraic Geometry | Mathematics | Algebraic Topology

Book

1974, Lecture notes in mathematics, ISBN 9780387069630, Volume 418, vi, 170

Book

Journal of automated reasoning, ISSN 1573-0670, 2018, Volume 63, Issue 2, pp. 211 - 253

This paper improves the treatment of equality in guarded dependent type theory (
$$\mathsf {GDTT}$$
GDTT
), by combining it with cubical type theory...

Guarded recursion | Artificial Intelligence | Computer Science | Homotopy type theory | Symbolic and Algebraic Manipulation | Mathematical Logic and Foundations | Mathematical Logic and Formal Languages | Cubical type theory | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Computer science | Analysis | Computation | Semantics | Number theory | Algebra och logik | Algebra and Logic | Matematisk analys | Filosofi | Philosophy | Mathematical Analysis

Guarded recursion | Artificial Intelligence | Computer Science | Homotopy type theory | Symbolic and Algebraic Manipulation | Mathematical Logic and Foundations | Mathematical Logic and Formal Languages | Cubical type theory | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Computer science | Analysis | Computation | Semantics | Number theory | Algebra och logik | Algebra and Logic | Matematisk analys | Filosofi | Philosophy | Mathematical Analysis

Journal Article

2010, New mathematical monographs, ISBN 9780521760379, Volume 12, xix, 554

The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed...

Algebraic topology | Homotopy theory

Algebraic topology | Homotopy theory

Book

2007, 1., De Gruyter Series in Nonlinear Analysis and Applications, ISBN 9783110189421, Volume 11

Book

2014, Volume 617

Homotopy theory | K$-theory -- Higher algebraic $K$-theory -- Higher algebraic $K$-theory | Algebraic topology -- Homology and cohomology theories -- Homology and cohomology theories | Category theory; homological algebra -- General theory of categories and functors -- Functor categories, comma categories | Manifolds and cell complexes -- Differential topology -- Diffeomorphisms | Category theory; homological algebra -- Homological algebra -- Resolutions; derived functors | K$-theory -- Topological $K$-theory -- Connective $K$-theory, cobordism | Group theory and generalizations -- Abstract finite groups -- None of the above, but in this section | Algebraic topology -- Homotopy theory -- Homotopy theory | Algebraic topology -- Applied homological algebra and category theory -- Applied homological algebra and category theory | Algebraic topology

Conference Proceeding

[3d print. with corr. and a new pref., 1969]. --, Annals of mathematics studies, no. 51, Volume no. 51, viii, 153 p. illus.

Book

Communications in Algebra, ISSN 0092-7872, 08/2019, Volume 47, Issue 8, pp. 3202 - 3228

In this note we study the local projective model structure on presheaves of complexes on a site, that is, we describe its classes of cofibrations, fibrations,...

model categories | Derived categories | sheaves | dg categories | MATHEMATICS | Sheaves | Homotopy theory

model categories | Derived categories | sheaves | dg categories | MATHEMATICS | Sheaves | Homotopy theory

Journal Article

Journal of pure and applied algebra, ISSN 0022-4049, 10/2018, Volume 222, Issue 10, pp. 3137 - 3181

... certain homotopy quotients. In a second part of this paper, we will present an application to models of constructive set theory...

Algebra and Number Theory | MATHEMATICS | MATHEMATICS, APPLIED | HOMOTOPY-THEORY | Employee motivation | Analysis

Algebra and Number Theory | MATHEMATICS | MATHEMATICS, APPLIED | HOMOTOPY-THEORY | Employee motivation | Analysis

Journal Article

1978, Lecture notes in mathematics ; 688., ISBN 9780387089553, Volume 688., vi, 149

Book

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