Basic Topology about metric space $R$
12701
Perfect set without rationals
146967
Understanding equivalent metric spaces
42913
Equivalence of the definition of the Subbasis of a Topology
140124
The distance function on a metric space
6415
Distance function is continuous in topology induced by the metric
59289
Nested Sequence of Topological Space and the Coherent Topology; Munkres Topology 35.9
41047
Subspace Topology of a subset
99353
Topology on cartesian product and product topology.
80276
Metric Space & Cauchy Sequence
128897
Bounded sequence in a metric space
153952
A map between metric spaces preserving convergent sequences is continuous
146485
Prove that the product space is a metric space.
108619
Proving Baire's theorem: The intersection of a sequence of dense open subsets of a complete metric space is nonempty
99645
Metrizable topological space $X$ with every admissible metric complete then $X$ is compact
99816
Existence of Topologically Transitive Maps on nice Metric Spaces
98553
Infinite metric space has open set $U$ which is infinite and its complement is infinite
145981
Introductory book on Topology