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  1. No Access

    Chapter

    O

    O-Direct Union of semi-groups with zero - The semi-group obtained from the given family S α of semi-groups with zero, pairwise intersecting at this zero, by specifying o...

    L. N. Shevrin, V. N. Grishin, A. I. Yanushauskas in Encyclopaedia of Mathematics (1995)

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    Chapter

    G

    A. F. Kharshiladze, D. V. Alekseevskiĭ, N. N. Vorob’ev in Encyclopaedia of Mathematics (1995)

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    Chapter

    M

    Editorial comments. A discrete-time stochastic process (X n ) nz is m-dependent if for all k the joint stochastic variables (X

    V. I. Pagurova, D. D. Sokolov, S. S. Marchenko in Encyclopaedia of Mathematics (1995)

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    Chapter

    D

    δ-σ-OPERATION - A set-theoretic operation, the result of its application to a sequence (E n ) of sets can be noted thus:

    A. G. El’kin, M. G. M. van Doorn, A. K. Gushchin in Encyclopaedia of Mathematics (1995)

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    Chapter

    C

    X 2-DISTRIBUTION - See ‘Chi-squared’ distribution.

    A. I. Shtern, B. A. Efimov, S. Yu. Maslov, V. A. Dushskiĭ in Encyclopaedia of Mathematics (1995)

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    Chapter

    P

    A group which has a normal series such that the order of every factor contains at most one prime from π (π is a set of prime numbers). The class of π-separable groups contains the class of π-solvable groups (cf.

    S. P. Strunkov, A. N. Parshin, V. G. Sprindzhuk in Encyclopaedia of Mathematics (1995)

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    Chapter

    H

    A Hausdorff space which, under any topological imbedding into an arbitrary Hausdorff space Y, is a closed set in Y. The characteristic property of an H-closed space is that any open covering of the space contains...

    V. I. Ponomarev, Yu. B. Rudyak, A. F. Kharshiladze in Encyclopaedia of Mathematics (1995)

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    Chapter

    L

    The lambda calculus was introduced in 1932 – 1933 by A. Church [A3] as part of a theory intended as a foundation for mathematics. This foundational theory consisted of a part dealing with logical symbols and r...

    H. P. Barendregt, I. V. Dolgachev, G. Rozenberg, A. Salomaa in Encyclopaedia of Mathematics (1995)

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    Chapter

    R

    Regular Ring - A regular ring (in the sense of von Neumann) admitting an involutory anti-automorphism α→α* such that αα =0 implies α=0. An idempotent e of a *-regular ring is called a projec...

    L. A. Skornyakov, I. P. Mysovskikh, A. A. Talalyan in Encyclopaedia of Mathematics (1995)

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    Chapter

    B

    AMS 1980 Subject Classification: 62EXX

    Yu. B. Rudyak, V. E. Govorov, I. A. Vinogradova in Encyclopaedia of Mathematics (1995)

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    Chapter

    M

    A second-order partial differential equation of the form <m:math display="block"> <m:mrow> <m:mi>r</m:mi><m:mi>t</m:mi><m:mo>&#x2212;</m:mo><...

    A. V. Pogorelov, N. Kh. Rozov, M. V. Fedoryuk in Encyclopaedia of Mathematics (1995)

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    Chapter

    E

    ϵ-ENTROPY of a set in a metric space - The logarithm to the base 2 of the smallest number of points in an ϵ-net for this set. In other words, the ϵ-entropy ℋϵ(C, X) of a set C lying in a metric space (X, ρ)

    V. M. Tikhomirov, S. A. Stepanov, A. B. Ivanov in Encyclopaedia of Mathematics (1995)

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    Chapter and Conference Paper

    The problem of realization of homology classes from Poincare up to the present

    Yu. B. Rudyak in Global Analysis - Studies and Applications V (1992)

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    Article

    Relations in the piecewise-linear cobordism ring

    Yu. B. Rudyak in Mathematical notes of the Academy of Sciences of the USSR (1989)

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    Article

    Realization of homology classes of PL-manifolds with singularities

    Yu. B. Rudyak in Mathematical notes of the Academy of Sciences of the USSR (1987)

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    Article

    Exactness theorems in the cohomology theories MU, BP, and P(n)

    Yu. B. Rudyak in Mathematical notes of the Academy of Sciences of the USSR (1986)

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    Article

    On normal invariants of certain manifolds

    A method is presented for computing the set of homotopy classes [X, G/PL], where X is a finite CW complex satisfying certain homological conditions. The result obtained is applied to compute normal invariants ...

    Yu. B. Rudyak in Mathematical notes of the Academy of Sciences of the USSR (1974)