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Ukrainian Mathematical Journal

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

Parametric results for certain infinite-dimensional manifolds

  • T. O. Banakh
Brief Communications

Abstract

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.

Keywords

Basic Result Axiomatical Approach Characterization Theorem Closed Embedding 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

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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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