Ukrainian Mathematical Journal

, Volume 43, Issue 6, pp 801–806 | Cite as

Parametric results for certain infinite-dimensional manifolds

  • T. O. Banakh
Brief Communications


The theory of R-(Q-) manifolds is generalized in two directions. Firstly, an axiomatical approach is proposed to describing various classes of manifolds (so-called K-manifolds) including, along with the indicated classes of Rand Q-manifolds, also, e.g., the manifolds modeled on the space
, where τ is a cardinal. Secondly, all the arguments were carried out in the category TopB, which makes it possible to carry over from spaces to maps practically all basic results of the theory of R-(Q-) manifolds. Specifically, there are obtained characterization theorems for trivial and microtrivial K-fibrations, theorems on open and closed embeddings, stability thoerems, etc.


Basic Result Axiomatical Approach Characterization Theorem Closed Embedding 
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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • T. O. Banakh
    • 1
  1. 1.Lvov UniversityUSSR

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