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The notion of free group is defined, a relatively wide collection of groups which enable infinite set summation (called commutative $π$ -group), is introduced. Commutative $π$ -groups are studied from the set-theoretical point of view and from the point of view of free groups. Commutativity of the operator which is a special kind of inverse limit and factorization, is proved. Tensor product is defined, commutativity of direct product (also a free group construction and tensor product) with the special...

Homotopy types of subspace arrangements via diagrams of spaces.

Günter M. Ziegler, Rade T. Zivaljevic (1993)

Mathematische Annalen

$K$ - and $L$ -theory of the semi-direct product of the discrete 3-dimensional Heisenberg group by $ℤ / 4$ .

Lück, Wolfgang (2005)

Geometry & Topology

Khovanov's homology for tangles and cobordisms.

Bar-Natan, Dror (2005)

Geometry & Topology

Lagrangian Intersections in Contact Geometry.

H. Hofer, Y. Eliashberg, D. Salamon (1995)

Geometric and functional analysis

Levels in algebra and topology.

T.Y. Lam, Z.D. Dai (1984)

Commentarii mathematici Helvetici

L-homology theory of FSQL-manifolds and the degree of FSQL-mappings

A. Abbasov (2010)

Annales Polonici Mathematici

A homology theory of Banach manifolds of a special form, called FSQL-manifolds, is developed, and also a homological degree of FSQL-mappings between FSQL-manifolds is introduced.

Linear Diophantic Equations and Local Cohomology.

Richard P. Stanley (1982)

Inventiones mathematicae

Normed combinatorial homology and noncommutative tori.

Grandis, Marco (2004)

Theory and Applications of Categories [electronic only]

On a global version of the Gauss-Bonnet theorem

Alois Švec (1975)

Czechoslovak Mathematical Journal

On infinitesimal isometries of a hypersurface

Alois Švec (1974)

Czechoslovak Mathematical Journal

On Subdivisions of Simplicial Complexes: Characterizing Local h-Vectors.

C. Chan (1994)

Discrete & computational geometry

On the realization of unstable modules. (Sur la realisation des modules instables.)

Jiang, DongHua (2004)

Algebraic & Geometric Topology

Ordinary and directed combinatorial homotopy, applied to image analysis and concurrency.

Grandis, Marco (2003)

Homology, Homotopy and Applications

Painlevé equations and complex reflections

Philip Boalch (2003)

Annales de l’institut Fourier

We will explain how some new algebraic solutions of the sixth Painlevé equation arise from complex reflection groups, thereby extending some results of Hitchin and Dubrovin-- Mazzocco for real reflection groups. The problem of finding explicit formulae for these solutions will be addressed elsewhere.

Proper CW-complexes: A category for the study of proper homotopy.

J. I. Extremiana, L. J. Hernández, M. T. Rivas (1988)

Collectanea Mathematica

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