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Results tagged with gt.geometric-topology
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user 5903
Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).
5
votes
Accepted
One-dimensional compacta as projective limits
References to Engelking's Dimension Theory (1978) ISBN 0-444-85176-3.
The answer is yes for compact metrizable spaces, see Section 1.13.
In general it is no in general, see Example 3.3.8 (Lokucievski …
- 11.4k
2
votes
Accepted
Approximations by compact sub-spaces
Q1. Consider the space of rationals $\mathbb{Q}$.
It is the direct limit of the family of finite unions of convergent sequences (including their limits), ordered by inclusion, as a set is closed iff i …
- 11.4k