We prove that the delooping, i. e., the classifying space, of a grouplike monoid is an H-space if and only if its multiplication is a homotopy homomorphism, extending and clarifying a result of Sugawara. Furthermore it is shown that the Moore loop space functor and the construction of the classifying space induce an adjunction of the according homotopy categories. 2000 Mathematics Subject Class...

CONDITIONS II. S. R. Moore, M. Franzen, P. H. Benoit, D. W. G. Sears, A. Holley, M. Myers, R. Godsey, and J. Czlapinski. Arkansas-Oklahoma Center for Space and Planetary Sciences and Department of Chemistry and Biochemistry, University of Arkansas, Fayetteville, Arkansas 72701, USA. Arkansas-Oklahoma Center for Space and Planetary Sciences and Department of Physics, University of Arkansas, Faye...

In 1951, Dowker proved that a space X is countably paracompact and normal if and only if X×I is normal. A normal space X is called a Dowker space if X × I is not normal. The main thrust of this article is to extend this work with regards α-normality and β-normality. Characterizations are given for when the product of a space X and (ω + 1) is α-normal or β-normal. A new definition, α-countably p...

We describe a procedure for recovering X from the space of maps from M into X, when M is constructed by cofibers of self-maps. This can be used to define an M-CW approximation functor. The case when M is a Moore space is discussed in greater detail.

We prove that the Morava-K-theory-based Eilenberg-Moore spectral sequence has good convergence properties whenever the base space is a p-local finite Postnikov system with vanishing (n + 1)st homotopy group.

We prove that the Morava-K-theory-based Eilenberg-Moore spectral sequence has good convergence properties whenever the base space is a p-local finite Postnikov system with vanishing (n + 1)st homotopy group.

In this paper, we study large-time behaviors for a fundamental model in nonlinear acoustics, precisely, the viscous Jordan–Moore–Gibson–Thompson (JMGT) equation whole space Rn. This describes acoustics perfect gases under irrotational flow and equipping Cattaneo’s law of heat conduction. By employing refined WKB analysis Fourier analysis, derive first- second-order asymptotic profiles solution ...

Two compact Hausdorff spaces are co-elementarily equivalent if they have homeomorphic ultracopowers; equivalently if their Banach spaces of continuous real-valued functions have isometrically isomorphic Banach ultrapowers (or, approximately satisfy the same positive-bounded sentences). We prove here that any locally connected compact metrizable space co-elementarily equivalent with an arc (resp...

Abstract We prove an extension of the Moore–Schmidt theorem on triviality first cohomology class cocycles for action arbitrary discrete group measure space and with values in compact Hausdorff abelian group. The proof relies a ‘conditional’ Pontryagin duality spaces abstract measurable maps.

Singular values and maximum rank minors of generalized inverses are studied. Proportionality of maximum rank minors is explained in terms of space equivalence. The Moore–Penrose inverse A† is characterized as the {1}–inverse of A with minimal volume.