Directory UMM :Journals:Journal_of_mathematics:OTHER:
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The Milnor Theorem which asserts that the combinatorial homotopy groups of a fibrant simplicial set coincide with the ordinary homotopy groups of its topological realization
induces an equivalence of categories, if we restrict to the full subcategories of based spaces of the homotopy type of connected CW-complexes and grouplike monoids of the homotopy
The category of B-generated spaces contains among other things all geometric realiza- tions of simplicial sets, of cubical sets, all simplicial and cubical complexes, the
(iv) The homotopy category obtained from the category of small symmetric monoidal categories and strictly unital op-lax maps by inverting the weak equivalences.. (v) The
We saw in the previous section that the category of Fr¨olicher spaces is (isomorphic to) a full subcategory of that of Souriau spaces, likewise the category of Souriau spaces in that
Following the approach by [9], we can construct the coherent semi- uniform homotopy category and, hence, uniform strong shape theory for uniform spaces by the inverse system
Based on these results, the sufficient conditions are established, under which spaces of free topological semigroups (in the sense of Marxen) and spaces of free topological groups
This paper contains a study of families of quasi-pseudo-metrics generated by Probabilistic-quasi-pseudo-metric-spaces which are generalization of probabilistic metric spaces
